The shark is nearly six metres long and is estimated to weigh 2.5 tonnes and was encountered off the Hawaiian island of Oahu's southern shore. It was attracted to the region by the carcass of a dead sperm whale. Deep Blue is believed to be about 50 years old and has its own Twitter account, reported BBC News.
One of the divers, Ocean Ramsey, told the Honolulu Star Advertiser that they had been filming tiger sharks feeding on the whale when the shark arrived.
"We saw a few tigers and then she came up and all the other sharks split, and she started brushing up against the boat," she said.
"She was just this big beautiful gentle giant wanting to use our boat as a scratching post. We went out at sunrise, and she stayed with us pretty much throughout the day."
Ramsey said the shark was "shockingly wide" and could be pregnant.
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