522525444525225 has 192 divisors, whose sum is σ = 1026536593524480. Its totient is φ = 259662454272000.

The previous prime is 522525444525223. The next prime is 522525444525233.

522525444525225 is a `hidden beast` number, since 5 + 2 + 2 + 5 + 2 + 54 + 44 + 525 + 2 + 25 = 666.

522525444525225 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 522525444525225 - 2¹ = 522525444525223 is a prime.

It is a super-2 number, since 2×522525444525225² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (522525444525221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14541641359 + ... + 14541677291.

It is an arithmetic number, because the mean of its divisors is an integer number (5346544757940).

Almost surely, 2^{522525444525225} is an apocalyptic number.

It is an amenable number.

522525444525225 is a deficient number, since it is larger than the sum of its proper divisors (504011148999255).

522525444525225 is a wasteful number, since it uses less digits than its factorization.

522525444525225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48617 (or 48606 counting only the distinct ones).

The product of its digits is 64000000, while the sum is 54.

The spelling of 522525444525225 in words is "five hundred twenty-two trillion, five hundred twenty-five billion, four hundred forty-four million, five hundred twenty-five thousand, two hundred twenty-five".