13906657315601 has 2 divisors, whose sum is σ = 13906657315602. Its totient is φ = 13906657315600.

The previous prime is 13906657315571. The next prime is 13906657315633. The reversal of 13906657315601 is 10651375660931.

13906657315601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10410954013201 + 3495703302400 = 3226601^2 + 1869680^2 .

It is a cyclic number.

It is not a de Polignac number, because 13906657315601 - 2¹⁰ = 13906657314577 is a prime.

It is a super-2 number, since 2×13906657315601² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13906657312601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6953328657800 + 6953328657801.

It is an arithmetic number, because the mean of its divisors is an integer number (6953328657801).

Almost surely, 2^{13906657315601} is an apocalyptic number.

It is an amenable number.

13906657315601 is a deficient number, since it is larger than the sum of its proper divisors (1).

13906657315601 is an equidigital number, since it uses as much as digits as its factorization.

13906657315601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3061800, while the sum is 53.

The spelling of 13906657315601 in words is "thirteen trillion, nine hundred six billion, six hundred fifty-seven million, three hundred fifteen thousand, six hundred one".