252024222420252 has 36 divisors (see below), whose sum is σ = 637885370271240. Its totient is φ = 83899396156512.

The previous prime is 252024222420199. The next prime is 252024222420263.

252024222420252 is a `hidden beast` number, since 2 + 5 + 2 + 0 + 2 + 4 + 222 + 420 + 2 + 5 + 2 = 666.

252024222420252 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 4528221102 + ... + 4528276757.

It is an arithmetic number, because the mean of its divisors is an integer number (17719038063090).

Almost surely, 2^{252024222420252} is an apocalyptic number.

It is an amenable number.

252024222420252 is an abundant number, since it is smaller than the sum of its proper divisors (385861147850988).

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

252024222420252 is a wasteful number, since it uses less digits than its factorization.

252024222420252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9056498642 (or 9056498637 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 36.

The spelling of 252024222420252 in words is "two hundred fifty-two trillion, twenty-four billion, two hundred twenty-two million, four hundred twenty thousand, two hundred fifty-two".