252651968 has 56 divisors (see below), whose sum is σ = 531235920. Its totient is φ = 118886400.

The previous prime is 252651967. The next prime is 252651989. The reversal of 252651968 is 869156252.

252651968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252651967) 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 7 ways as a sum of consecutive naturals, for example, 209768 + ... + 210968.

Almost surely, 2^252651968 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 252651968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265617960).

252651968 is an abundant number, since it is smaller than the sum of its proper divisors (278583952).

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

252651968 is a wasteful number, since it uses less digits than its factorization.

252651968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1395 counting only the distinct ones).

The product of its digits is 259200, while the sum is 44.

The square root of 252651968 is about 15895.0296633885. The cubic root of 252651968 is about 632.1802081844.

The spelling of 252651968 in words is "two hundred fifty-two million, six hundred fifty-one thousand, nine hundred sixty-eight".