3 × 52 × 17 × 613
1, 3, 5, 15, 17, 25, 51, 75, 85, 255, 425, 613, 1275, 1839, 3065, 9195, 10421, 15325, 31263, 45975, 52105, 156315, 260525 and 781575
No.
Its nearest Fibonacci number neighbors are 514229 and 832040.