5 × 13 × 911 × 141961
1, 5, 13, 65, 911, 4555, 11843, 59215, 141961, 709805, 1845493, 9227465, 129326471, 646632355, 1681244123 and 8406220615
No.
Its nearest Fibonacci number neighbors are 7778742049 and 12586269025.