52561622616525 has 96 divisors (see below), whose sum is σ = 107904777402240. Its totient is φ = 24862851648000.

The previous prime is 52561622616493. The next prime is 52561622616551.

It is a happy number.

52561622616525 is a `hidden beast` number, since 5 + 2 + 5 + 6 + 1 + 622 + 6 + 1 + 6 + 5 + 2 + 5 = 666.

52561622616525 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52561622616525 - 2⁵ = 52561622616493 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86024922 + ... + 86633771.

It is an arithmetic number, because the mean of its divisors is an integer number (1124008097940).

Almost surely, 2^{52561622616525} is an apocalyptic number.

52561622616525 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52561622616525 is an abundant number, since it is smaller than the sum of its proper divisors (55343154785715).

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

52561622616525 is a wasteful number, since it uses less digits than its factorization.

52561622616525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172658764 (or 172658753 counting only the distinct ones).

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

The spelling of 52561622616525 in words is "fifty-two trillion, five hundred sixty-one billion, six hundred twenty-two million, six hundred sixteen thousand, five hundred twenty-five".