521564465125 has 48 divisors (see below), whose sum is σ = 746573458176. Its totient is φ = 362827212000.

The previous prime is 521564465087. The next prime is 521564465167.

521564465125 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 521564465125 - 2¹⁵ = 521564432357 is a prime.

It is a super-4 number, since 4×521564465125⁴ (a number of 48 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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 47 ways as a sum of consecutive naturals, for example, 401769 + ... + 1097518.

It is an arithmetic number, because the mean of its divisors is an integer number (15553613712).

Almost surely, 2^521564465125 is an apocalyptic number.

521564465125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

521564465125 is a deficient number, since it is larger than the sum of its proper divisors (225008993051).

521564465125 is a wasteful number, since it uses less digits than its factorization.

521564465125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499347 (or 1499326 counting only the distinct ones).

The product of its digits is 1440000, while the sum is 46.

It can be divided in two parts, 521564 and 465125, that added together give a palindrome (986689).

The spelling of 521564465125 in words is "five hundred twenty-one billion, five hundred sixty-four million, four hundred sixty-five thousand, one hundred twenty-five".