521617716125 has 32 divisors (see below), whose sum is σ = 710253947520. Its totient is φ = 379307520000.

The previous prime is 521617716091. The next prime is 521617716127.

521617716125 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 521617716125 - 2²⁰ = 521616667549 is a prime.

It is a super-2 number, since 2×521617716125² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (521617716127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12479261 + ... + 12520989.

It is an arithmetic number, because the mean of its divisors is an integer number (22195435860).

Almost surely, 2^521617716125 is an apocalyptic number.

521617716125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

521617716125 is a deficient number, since it is larger than the sum of its proper divisors (188636231395).

521617716125 is a wasteful number, since it uses less digits than its factorization.

521617716125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50846 (or 50836 counting only the distinct ones).

The product of its digits is 176400, while the sum is 44.

The spelling of 521617716125 in words is "five hundred twenty-one billion, six hundred seventeen million, seven hundred sixteen thousand, one hundred twenty-five".