2 × 52 × 13 × 509
1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 509, 650, 1018, 2545, 5090, 6617, 12725, 13234, 25450, 33085, 66170, 165425 and 330850
No.
Its nearest Fibonacci number neighbors are 317811 and 514229.