225314101413522 has 144 divisors (see below), whose sum is σ = 538915503409920. Its totient is φ = 67981836384000.

The previous prime is 225314101413487. The next prime is 225314101413539.

225314101413522 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 14 + 101 + 4 + 13 + 522 = 666.

225314101413522 is nontrivially palindromic in base 10.

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 71 ways as a sum of consecutive naturals, for example, 4326198522 + ... + 4326250602.

It is an arithmetic number, because the mean of its divisors is an integer number (3742468773680).

Almost surely, 2^{225314101413522} is an apocalyptic number.

225314101413522 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 225314101413522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269457751704960).

225314101413522 is an abundant number, since it is smaller than the sum of its proper divisors (313601401996398).

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

225314101413522 is a wasteful number, since it uses less digits than its factorization.

225314101413522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60661 (or 60647 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

It can be divided in two parts, 22531410 and 1413522, that added together give a palindrome (23944932).

The spelling of 225314101413522 in words is "two hundred twenty-five trillion, three hundred fourteen billion, one hundred one million, four hundred thirteen thousand, five hundred twenty-two".