521113311125 has 128 divisors (see below), whose sum is σ = 763699622400. Its totient is φ = 350977536000.

The previous prime is 521113311107. The next prime is 521113311137.

It is a happy number.

521113311125 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 521113311125 - 2²⁰ = 521112262549 is a prime.

It is a super-2 number, since 2×521113311125² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 521113311094 and 521113311103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 516464621 + ... + 516465629.

It is an arithmetic number, because the mean of its divisors is an integer number (5966403300).

Almost surely, 2^521113311125 is an apocalyptic number.

521113311125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

521113311125 is a deficient number, since it is larger than the sum of its proper divisors (242586311275).

521113311125 is a wasteful number, since it uses less digits than its factorization.

521113311125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 1470 counting only the distinct ones).

The product of its digits is 900, while the sum is 26.

It can be divided in two parts, 521113 and 311125, that added together give a palindrome (832238).

The spelling of 521113311125 in words is "five hundred twenty-one billion, one hundred thirteen million, three hundred eleven thousand, one hundred twenty-five".