56577568337 has 2 divisors, whose sum is σ = 56577568338. Its totient is φ = 56577568336.

The previous prime is 56577568309. The next prime is 56577568343. The reversal of 56577568337 is 73386577565.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42748043536 + 13829524801 = 206756^2 + 117599^2 .

It is a cyclic number.

It is not a de Polignac number, because 56577568337 - 2²⁴ = 56560791121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 56577568337.

It is not a weakly prime, because it can be changed into another prime (56577562337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28288784168 + 28288784169.

It is an arithmetic number, because the mean of its divisors is an integer number (28288784169).

Almost surely, 2^56577568337 is an apocalyptic number.

It is an amenable number.

56577568337 is a deficient number, since it is larger than the sum of its proper divisors (1).

56577568337 is an equidigital number, since it uses as much as digits as its factorization.

56577568337 is an evil number, because the sum of its binary digits is even.

The product of its digits is 111132000, while the sum is 62.

The spelling of 56577568337 in words is "fifty-six billion, five hundred seventy-seven million, five hundred sixty-eight thousand, three hundred thirty-seven".