521513315125 has 16 divisors (see below), whose sum is σ = 710016675264. Its totient is φ = 379282410000.

The previous prime is 521513315117. The next prime is 521513315137.

It is a happy number.

521513315125 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 521513315125 - 2³ = 521513315117 is a prime.

It is a super-2 number, since 2×521513315125² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189639831 + ... + 189642580.

It is an arithmetic number, because the mean of its divisors is an integer number (44376042204).

Almost surely, 2^521513315125 is an apocalyptic number.

521513315125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

521513315125 is a deficient number, since it is larger than the sum of its proper divisors (188503360139).

521513315125 is a wasteful number, since it uses less digits than its factorization.

521513315125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379282437 (or 379282427 counting only the distinct ones).

The product of its digits is 22500, while the sum is 34.

It can be divided in two parts, 521513 and 315125, that added together give a palindrome (836638).

The spelling of 521513315125 in words is "five hundred twenty-one billion, five hundred thirteen million, three hundred fifteen thousand, one hundred twenty-five".