252153664 has 56 divisors (see below), whose sum is σ = 574170048. Its totient is φ = 107627520.

The previous prime is 252153641. The next prime is 252153679. The reversal of 252153664 is 466351252.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124887 + ... + 126889.

Almost surely, 2^252153664 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 252153664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287085024).

252153664 is an abundant number, since it is smaller than the sum of its proper divisors (322016384).

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

252153664 is a wasteful number, since it uses less digits than its factorization.

252153664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303 (or 2293 counting only the distinct ones).

The product of its digits is 43200, while the sum is 34.

The square root of 252153664 is about 15879.3470898523. The cubic root of 252153664 is about 631.7643195362.

The spelling of 252153664 in words is "two hundred fifty-two million, one hundred fifty-three thousand, six hundred sixty-four".