522623326225 has 192 divisors, whose sum is σ = 903910146048. Its totient is φ = 289173888000.

The previous prime is 522623326201. The next prime is 522623326237.

522623326225 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 522623326225 - 2⁵ = 522623326193 is a prime.

It is a super-2 number, since 2×522623326225² (a number of 24 digits) contains 22 as substring.

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, 126449259 + ... + 126453391.

It is an arithmetic number, because the mean of its divisors is an integer number (4707865344).

Almost surely, 2^522623326225 is an apocalyptic number.

522623326225 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

522623326225 is a deficient number, since it is larger than the sum of its proper divisors (381286819823).

522623326225 is a wasteful number, since it uses less digits than its factorization.

522623326225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4368 (or 4363 counting only the distinct ones).

The product of its digits is 518400, while the sum is 40.

It can be divided in two parts, 522623 and 326225, that added together give a palindrome (848848).

The spelling of 522623326225 in words is "five hundred twenty-two billion, six hundred twenty-three million, three hundred twenty-six thousand, two hundred twenty-five".