52625611652625 has 128 divisors (see below), whose sum is σ = 107884338531840. Its totient is φ = 25097160960000.

The previous prime is 52625611652617. The next prime is 52625611652629.

It is a happy number.

52625611652625 is a `hidden beast` number, since 5 + 2 + 6 + 2 + 5 + 6 + 1 + 1 + 6 + 5 + 2 + 625 = 666.

52625611652625 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52625611652625 - 2³ = 52625611652617 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (52625611652629) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9354432 + ... + 13883681.

It is an arithmetic number, because the mean of its divisors is an integer number (842846394780).

Almost surely, 2^{52625611652625} is an apocalyptic number.

52625611652625 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52625611652625 is an abundant number, since it is smaller than the sum of its proper divisors (55258726879215).

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

52625611652625 is a wasteful number, since it uses less digits than its factorization.

52625611652625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23238209 (or 23238193 counting only the distinct ones).

The product of its digits is 12960000, while the sum is 54.

The spelling of 52625611652625 in words is "fifty-two trillion, six hundred twenty-five billion, six hundred eleven million, six hundred fifty-two thousand, six hundred twenty-five".