252651520 has 96 divisors (see below), whose sum is σ = 661620960. Its totient is φ = 91832320.

The previous prime is 252651517. The next prime is 252651533. The reversal of 252651520 is 25156252.

252651520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 111519 + ... + 113761.

It is an arithmetic number, because the mean of its divisors is an integer number (6891885).

Almost surely, 2^252651520 is an apocalyptic number.

252651520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252651520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330810480).

252651520 is an abundant number, since it is smaller than the sum of its proper divisors (408969440).

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

252651520 is a wasteful number, since it uses less digits than its factorization.

252651520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2281 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The square root of 252651520 is about 15895.0155709266. The cubic root of 252651520 is about 632.1798345256.

The spelling of 252651520 in words is "two hundred fifty-two million, six hundred fifty-one thousand, five hundred twenty".