I kind of doubt it’s a 9/16” bolt head if the hole is .64” +/-. Looks more like a 1/2” head to me - possibly a header bolt as suggested. A 1/2” hex head is .577” +/- across opposing hex points.
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I would soak it in penetrating oil and grind down a 1/2” socket to fit and see if it will engage the bolt. A Craftsman 1/4” drive 1/2” head socket is .067” dia. A 3/8” drive 1/2” head socket is .073” dia although I have an old Thorsen 3/8” deep socket that measures .070”. I suspect it’s a 1/2 hex-head - they had to get it down there somehow and tighten it.