225335626533522 has 128 divisors (see below), whose sum is σ = 508494976819200. Its totient is φ = 73952452828800.

The previous prime is 225335626533517. The next prime is 225335626533533.

225335626533522 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 3 + 5 + 62 + 6 + 53 + 3 + 522 = 666.

225335626533522 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×225335626533522² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18089070318 + ... + 18089082774.

It is an arithmetic number, because the mean of its divisors is an integer number (3972617006400).

Almost surely, 2^{225335626533522} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225335626533522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254247488409600).

225335626533522 is an abundant number, since it is smaller than the sum of its proper divisors (283159350285678).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225335626533522 is a wasteful number, since it uses less digits than its factorization.

225335626533522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18629 (or 18623 counting only the distinct ones).

The product of its digits is 58320000, while the sum is 54.

The spelling of 225335626533522 in words is "two hundred twenty-five trillion, three hundred thirty-five billion, six hundred twenty-six million, five hundred thirty-three thousand, five hundred twenty-two".