252282224538102 has 128 divisors (see below), whose sum is σ = 581567681986560. Its totient is φ = 72237764493440.

The previous prime is 252282224538061. The next prime is 252282224538191. The reversal of 252282224538102 is 201835422282252.

It is a congruent number.

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, 1513280083 + ... + 1513446785.

It is an arithmetic number, because the mean of its divisors is an integer number (4543497515520).

Almost surely, 2^{252282224538102} is an apocalyptic number.

252282224538102 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 252282224538102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290783840993280).

252282224538102 is an abundant number, since it is smaller than the sum of its proper divisors (329285457448458).

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

252282224538102 is a wasteful number, since it uses less digits than its factorization.

252282224538102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183618.

The product of its (nonzero) digits is 2457600, while the sum is 48.

The spelling of 252282224538102 in words is "two hundred fifty-two trillion, two hundred eighty-two billion, two hundred twenty-four million, five hundred thirty-eight thousand, one hundred two".