252115488 has 144 divisors (see below), whose sum is σ = 742996800. Its totient is φ = 81050112.

The previous prime is 252115481. The next prime is 252115511. The reversal of 252115488 is 884511252.

252115488 is a `hidden beast` number, since 2 + 521 + 1 + 54 + 88 = 666.

252115488 is digitally balanced in base 3, 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 (144).

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

It is not an unprimeable number, because it can be changed into a prime (252115481) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1266813 + ... + 1267011.

It is an arithmetic number, because the mean of its divisors is an integer number (5159700).

Almost surely, 2^252115488 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 252115488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371498400).

252115488 is an abundant number, since it is smaller than the sum of its proper divisors (490881312).

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

252115488 is a wasteful number, since it uses less digits than its factorization.

252115488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 340 counting only the distinct ones).

The product of its digits is 25600, while the sum is 36.

The square root of 252115488 is about 15878.1449798142. The cubic root of 252115488 is about 631.7324349417.

The spelling of 252115488 in words is "two hundred fifty-two million, one hundred fifteen thousand, four hundred eighty-eight".