522313141313225 has 48 divisors (see below), whose sum is σ = 688547752385280. Its totient is φ = 391915314432000.

The previous prime is 522313141313207. The next prime is 522313141313231.

522313141313225 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 522313141313225 - 2¹⁸ = 522313141051081 is a prime.

It is a super-2 number, since 2×522313141313225² (a number of 30 digits) contains 22 as substring.

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, 814918832 + ... + 815559518.

It is an arithmetic number, because the mean of its divisors is an integer number (14344744841360).

Almost surely, 2^{522313141313225} is an apocalyptic number.

It is an amenable number.

522313141313225 is a deficient number, since it is larger than the sum of its proper divisors (166234611072055).

522313141313225 is a wasteful number, since it uses less digits than its factorization.

522313141313225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657810 (or 657805 counting only the distinct ones).

The product of its digits is 129600, while the sum is 38.

The spelling of 522313141313225 in words is "five hundred twenty-two trillion, three hundred thirteen billion, one hundred forty-one million, three hundred thirteen thousand, two hundred twenty-five".