557733645625 has 20 divisors (see below), whose sum is σ = 750555048628. Its totient is φ = 411864840000.

The previous prime is 557733645593. The next prime is 557733645661. The reversal of 557733645625 is 526546337755.

It can be written as a sum of positive squares in 10 ways, for example, as 330391591209 + 227342054416 = 574797^2 + 476804^2 .

It is not a de Polignac number, because 557733645625 - 2⁵ = 557733645593 is a prime.

It is a super-2 number, since 2×557733645625² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 557733645625.

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 19 ways as a sum of consecutive naturals, for example, 34313946 + ... + 34330195.

Almost surely, 2^557733645625 is an apocalyptic number.

It is an amenable number.

557733645625 is a deficient number, since it is larger than the sum of its proper divisors (192821403003).

557733645625 is an equidigital number, since it uses as much as digits as its factorization.

557733645625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68644174 (or 68644159 counting only the distinct ones).

The product of its digits is 79380000, while the sum is 58.

The spelling of 557733645625 in words is "five hundred fifty-seven billion, seven hundred thirty-three million, six hundred forty-five thousand, six hundred twenty-five".