521713317125 has 128 divisors (see below), whose sum is σ = 881112121344. Its totient is φ = 297833760000.

The previous prime is 521713317079. The next prime is 521713317127.

521713317125 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 521713317125 - 2¹⁰ = 521713316101 is a prime.

It is a super-3 number, since 3×521713317125³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (521713317127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15874460 + ... + 15907290.

It is an arithmetic number, because the mean of its divisors is an integer number (6883688448).

Almost surely, 2^521713317125 is an apocalyptic number.

521713317125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

521713317125 is a deficient number, since it is larger than the sum of its proper divisors (359398804219).

521713317125 is a wasteful number, since it uses less digits than its factorization.

521713317125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33004 (or 32994 counting only the distinct ones).

The product of its digits is 44100, while the sum is 38.

It can be divided in two parts, 521713 and 317125, that added together give a palindrome (838838).

The spelling of 521713317125 in words is "five hundred twenty-one billion, seven hundred thirteen million, three hundred seventeen thousand, one hundred twenty-five".