56557675565 has 16 divisors (see below), whose sum is σ = 68180065200. Its totient is φ = 45039017472.

The previous prime is 56557675507. The next prime is 56557675607.

It is a happy number.

56557675565 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 8875712521 + 47681963044 = 94211^2 + 218362^2 .

It is a cyclic number.

It is not a de Polignac number, because 56557675565 - 2⁶ = 56557675501 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 56557675498 and 56557675507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7952231 + ... + 7959339.

It is an arithmetic number, because the mean of its divisors is an integer number (4261254075).

Almost surely, 2^56557675565 is an apocalyptic number.

It is an amenable number.

56557675565 is a deficient number, since it is larger than the sum of its proper divisors (11622389635).

56557675565 is a wasteful number, since it uses less digits than its factorization.

56557675565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14176.

The product of its digits is 165375000, while the sum is 62.

The spelling of 56557675565 in words is "fifty-six billion, five hundred fifty-seven million, six hundred seventy-five thousand, five hundred sixty-five".