52564544546525 has 36 divisors (see below), whose sum is σ = 72818665825332. Its totient is φ = 37602058560000.

The previous prime is 52564544546519. The next prime is 52564544546581.

52564544546525 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 1504787983204 + 51059756563321 = 1226698^2 + 7145611^2 .

It is not a de Polignac number, because 52564544546525 - 2³⁴ = 52547364677341 is a prime.

It is a super-2 number, since 2×52564544546525² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 142247516 + ... + 142616565.

Almost surely, 2^{52564544546525} is an apocalyptic number.

52564544546525 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52564544546525 is a deficient number, since it is larger than the sum of its proper divisors (20254121278807).

52564544546525 is a wasteful number, since it uses less digits than its factorization.

52564544546525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284864174 (or 284864158 counting only the distinct ones).

The product of its digits is 576000000, while the sum is 62.

The spelling of 52564544546525 in words is "fifty-two trillion, five hundred sixty-four billion, five hundred forty-four million, five hundred forty-six thousand, five hundred twenty-five".