52 × 7 × 53 × 433
1, 5, 7, 25, 35, 53, 175, 265, 371, 433, 1325, 1855, 2165, 3031, 9275, 10825, 15155, 22949, 75775, 114745, 160643, 573725, 803215 and 4016075
No.
Its nearest Fibonacci number neighbors are 3524578 and 5702887.