522461164225 has 192 divisors, whose sum is σ = 894822727680. Its totient is φ = 292066560000.

The previous prime is 522461164217. The next prime is 522461164231.

522461164225 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 522461164225 - 2³ = 522461164217 is a prime.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 278051836 + ... + 278053714.

It is an arithmetic number, because the mean of its divisors is an integer number (4660535040).

Almost surely, 2^522461164225 is an apocalyptic number.

522461164225 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

522461164225 is a deficient number, since it is larger than the sum of its proper divisors (372361563455).

522461164225 is a wasteful number, since it uses less digits than its factorization.

522461164225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2232 (or 2227 counting only the distinct ones).

The product of its digits is 230400, while the sum is 40.

It can be divided in two parts, 522461 and 164225, that added together give a palindrome (686686).

The spelling of 522461164225 in words is "five hundred twenty-two billion, four hundred sixty-one million, one hundred sixty-four thousand, two hundred twenty-five".