522232040232225 has 216 divisors, whose sum is σ = 964775803546152. Its totient is φ = 269994580992000.

The previous prime is 522232040232191. The next prime is 522232040232229.

522232040232225 is a `hidden beast` number, since 5 + 2 + 2 + 2 + 3 + 20 + 402 + 3 + 2 + 225 = 666.

522232040232225 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 36 ways, for example, as 285289530746256 + 236942509485969 = 16890516^2 + 15392937^2 .

It is not a de Polignac number, because 522232040232225 - 2⁸ = 522232040231969 is a prime.

It is a super-2 number, since 2×522232040232225² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 522232040232225.

It is not an unprimeable number, because it can be changed into a prime (522232040232229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 16590893187 + ... + 16590924663.

It is an arithmetic number, because the mean of its divisors is an integer number (4466554646047).

Almost surely, 2^{522232040232225} is an apocalyptic number.

It is an amenable number.

522232040232225 is a deficient number, since it is larger than the sum of its proper divisors (442543763313927).

522232040232225 is a wasteful number, since it uses less digits than its factorization.

522232040232225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31877 (or 31796 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

The spelling of 522232040232225 in words is "five hundred twenty-two trillion, two hundred thirty-two billion, forty million, two hundred thirty-two thousand, two hundred twenty-five".