5 × 13 × 43 × 182099
1, 5, 13, 43, 65, 215, 559, 2795, 182099, 910495, 2367287, 7830257, 11836435, 39151285, 101793341 and 508966705
No.
Its nearest Fibonacci number neighbors are 433494437 and 701408733.