(Updates with market closes, commentary)

* GDP headline disappoints, consumer spending up

* Shake Shack rises in market debut, Amazon rises

* Oil rises 8 percent, pushing up S&P energy sector

* Indexes decline: Dow 1.45 pct, S&P 1.3 pct, Nasdaq 1.03 pct

By Sinead Carew

NEW YORK, Jan 30 (Reuters) - U.S. stocks closed down on Friday after a volatile session as investors worried at the end of a rough month for the market about weak U.S. growth data and whether instability in Europe could hurt corporate earnings in the United States.

U.S. economic growth slowed sharply in the fourth quarter as weak business spending and a wider trade deficit offset the fastest pace of consumer spending since 2006.

This came after Greece's finance minister said the government would not cooperate with the European Union and International Monetary Fund mission.

A brief afternoon rally from rising oil prices failed to stick as investors, nervous about U.S. and global economies, fled to bonds from equities and even sold off utilities stocks, the worst performing sector on the day.

"It feels like a flight-to-safety trade on a month-end. People are putting money into assets that have done well this month," said Peter Coleman, head trader at ConvergEx Group in New York, who said Friday was a good reflection of the month.

The Dow Jones industrial average fell 251.9 points, or 1.45 percent, to 17,164.95, the S&P 500 lost 26.26 points, or 1.3 percent, to 1,994.99 and the Nasdaq Composite dropped 48.17 points, or 1.03 percent, to 4,635.24.

The S&P energy sector was the only one to finish up on Friday with a 0.74 percent increase after falling as much as 1.5 percent earlier in the session. It rebounded when crude futures rose 8 percent after a survey showed the biggest decline since 1987 in the number of rigs drilling for U.S. oil.

For the week, the Dow and S&P were each down 2.8 percent, and the Nasdaq fell 2.6 percent. For January, the Dow was down 3.6 percent and the Nasdaq was off 2.1 percent.

The S&P fell 3.1 percent in January, which was its biggest monthly loss since January 2014 and its first back-to-back monthly decline since April-May 2012.

Consumer spending was a bright spot as data showed U.S. consumer sentiment rose in January to its highest in 11 years on better job and wage prospects.

That confidence appeared to be reflected in some corporate results. Amazon shares jumped 13.7 percent after earnings beat Wall Street expectations on strong holiday season sales.

"Winners are being rewarded, whereas the market has really no tolerance for anything that comes up short," said Randy Bateman, chief investment officer of Huntington Asset Management in Columbus, Ohio.

In contrast to the broader market, shares of burger restaurant Shake Shack rose more than 118.6 percent in their market debut.

About 8.5 billion shares changed hands on U.S. exchanges, well above the almost 7 billion average for the last five sessions, according to BATS Global Markets.

NYSE declining issues outnumbered advancers 2,107 to 991, for a 2.13-to-1 ratio; on the Nasdaq, 2,040 issues fell and 691 advanced, for a 2.95-to-1 ratio.

The S&P 500 posted 18 new 52-week highs and 15 lows; the Nasdaq Composite recorded 43 new highs and 86 new lows. (Additional reporting by Rodrigo Campos and Ryan Vlastelica; Editing by Bernadette Baum and Nick Zieminski)