56253511535265 has 64 divisors (see below), whose sum is σ = 114839704627200. Its totient is φ = 25838933515200.

The previous prime is 56253511535231. The next prime is 56253511535269.

56253511535265 is a `hidden beast` number, since 5 + 6 + 2 + 5 + 35 + 11 + 535 + 2 + 65 = 666.

56253511535265 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56253511535265 - 2¹² = 56253511531169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (56253511535269) 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 63 ways as a sum of consecutive naturals, for example, 996844221 + ... + 996900650.

It is an arithmetic number, because the mean of its divisors is an integer number (1794370384800).

Almost surely, 2^{56253511535265} is an apocalyptic number.

56253511535265 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56253511535265 is an abundant number, since it is smaller than the sum of its proper divisors (58586193091935).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56253511535265 is a wasteful number, since it uses less digits than its factorization.

56253511535265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993744915 (or 1993744909 counting only the distinct ones).

The product of its digits is 20250000, while the sum is 54.

The spelling of 56253511535265 in words is "fifty-six trillion, two hundred fifty-three billion, five hundred eleven million, five hundred thirty-five thousand, two hundred sixty-five".