56632268825 has 48 divisors (see below), whose sum is σ = 77318176320. Its totient is φ = 40806528000.

The previous prime is 56632268821. The next prime is 56632268837. The reversal of 56632268825 is 52886223665.

It is not a de Polignac number, because 56632268825 - 2² = 56632268821 is a prime.

It is a super-3 number, since 3×56632268825³ (a number of 33 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (56632268821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24826685 + ... + 24828965.

It is an arithmetic number, because the mean of its divisors is an integer number (1610795340).

Almost surely, 2^56632268825 is an apocalyptic number.

56632268825 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56632268825 is a deficient number, since it is larger than the sum of its proper divisors (20685907495).

56632268825 is a wasteful number, since it uses less digits than its factorization.

56632268825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3098 (or 3093 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 53.

The spelling of 56632268825 in words is "fifty-six billion, six hundred thirty-two million, two hundred sixty-eight thousand, eight hundred twenty-five".