52635155153625 has 256 divisors, whose sum is σ = 115604596224000. Its totient is φ = 23343217632000.

The previous prime is 52635155153593. The next prime is 52635155153699.

52635155153625 is a `hidden beast` number, since 5 + 2 + 6 + 3 + 5 + 1 + 5 + 5 + 1 + 5 + 3 + 625 = 666.

52635155153625 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52635155153625 - 2⁵ = 52635155153593 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 19169322 + ... + 21742428.

It is an arithmetic number, because the mean of its divisors is an integer number (451580454000).

Almost surely, 2^{52635155153625} is an apocalyptic number.

52635155153625 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52635155153625 is an abundant number, since it is smaller than the sum of its proper divisors (62969441070375).

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

52635155153625 is a wasteful number, since it uses less digits than its factorization.

52635155153625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2573190 (or 2573174 counting only the distinct ones).

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

The spelling of 52635155153625 in words is "fifty-two trillion, six hundred thirty-five billion, one hundred fifty-five million, one hundred fifty-three thousand, six hundred twenty-five".