52 × 101 × 151 × 3001
1, 5, 25, 101, 151, 505, 755, 2525, 3001, 3775, 15005, 15251, 75025, 76255, 303101, 381275, 453151, 1515505, 2265755, 7577525, 11328775, 45768251, 228841255 and 1144206275
No.
Its nearest Fibonacci number neighbors are 1134903170 and 1836311903.