252114816 has 64 divisors (see below), whose sum is σ = 691315200. Its totient is φ = 81323520.

The previous prime is 252114787. The next prime is 252114859. The reversal of 252114816 is 618411252.

252114816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1315 + ... + 22493.

It is an arithmetic number, because the mean of its divisors is an integer number (10801800).

Almost surely, 2^252114816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252114816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345657600).

252114816 is an abundant number, since it is smaller than the sum of its proper divisors (439200384).

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

252114816 is a wasteful number, since it uses less digits than its factorization.

252114816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21227 (or 21215 counting only the distinct ones).

The product of its digits is 3840, while the sum is 30.

The square root of 252114816 is about 15878.1238186380. The cubic root of 252114816 is about 631.7318736585.

The spelling of 252114816 in words is "two hundred fifty-two million, one hundred fourteen thousand, eight hundred sixteen".