56577508602337 has 2 divisors, whose sum is σ = 56577508602338. Its totient is φ = 56577508602336.

The previous prime is 56577508602283. The next prime is 56577508602397. The reversal of 56577508602337 is 73320680577565.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 40100923535841 + 16476585066496 = 6332529^2 + 4059136^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-56577508602337 is a prime.

It is not a weakly prime, because it can be changed into another prime (56577508602397) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28288754301168 + 28288754301169.

It is an arithmetic number, because the mean of its divisors is an integer number (28288754301169).

Almost surely, 2^{56577508602337} is an apocalyptic number.

It is an amenable number.

56577508602337 is a deficient number, since it is larger than the sum of its proper divisors (1).

56577508602337 is an equidigital number, since it uses as much as digits as its factorization.

56577508602337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 222264000, while the sum is 64.

The spelling of 56577508602337 in words is "fifty-six trillion, five hundred seventy-seven billion, five hundred eight million, six hundred two thousand, three hundred thirty-seven".