52564622646525 has 96 divisors (see below), whose sum is σ = 97004397892608. Its totient is φ = 24901830028800.

The previous prime is 52564622646499. The next prime is 52564622646527.

52564622646525 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52564622646525 - 2¹⁰ = 52564622645501 is a prime.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52564622646527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2365552 + ... + 10522598.

It is an arithmetic number, because the mean of its divisors is an integer number (1010462478048).

Almost surely, 2^{52564622646525} is an apocalyptic number.

52564622646525 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52564622646525 is a deficient number, since it is larger than the sum of its proper divisors (44439775246083).

52564622646525 is a wasteful number, since it uses less digits than its factorization.

52564622646525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8157251 (or 8157246 counting only the distinct ones).

The product of its digits is 207360000, while the sum is 60.

The spelling of 52564622646525 in words is "fifty-two trillion, five hundred sixty-four billion, six hundred twenty-two million, six hundred forty-six thousand, five hundred twenty-five".