52564131 has 24 divisors (see below), whose sum is σ = 79691040. Its totient is φ = 33323136.

The previous prime is 52564121. The next prime is 52564199. The reversal of 52564131 is 13146525.

52564131 is a `hidden beast` number, since 525 + 6 + 4 + 131 = 666.

It is not a de Polignac number, because 52564131 - 2⁶ = 52564067 is a prime.

It is a super-2 number, since 2×52564131² = 5525975735570322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 52564095 and 52564104.

It is not an unprimeable number, because it can be changed into a prime (52564121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40135 + ... + 41423.

It is an arithmetic number, because the mean of its divisors is an integer number (3320460).

Almost surely, 2^52564131 is an apocalyptic number.

52564131 is a deficient number, since it is larger than the sum of its proper divisors (27126909).

52564131 is a wasteful number, since it uses less digits than its factorization.

52564131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1512 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 52564131 is about 7250.1124818861. The cubic root of 52564131 is about 374.5960236312.

The spelling of 52564131 in words is "fifty-two million, five hundred sixty-four thousand, one hundred thirty-one".