252071568 has 80 divisors (see below), whose sum is σ = 826911360. Its totient is φ = 72019584.

The previous prime is 252071549. The next prime is 252071569. The reversal of 252071568 is 865170252.

It is a happy number.

252071568 is a `hidden beast` number, since 2 + 5 + 20 + 71 + 568 = 666.

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 (252071569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38655 + ... + 44702.

It is an arithmetic number, because the mean of its divisors is an integer number (10336392).

Almost surely, 2^252071568 is an apocalyptic number.

252071568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

252071568 is an abundant number, since it is smaller than the sum of its proper divisors (574839792).

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

252071568 is a wasteful number, since it uses less digits than its factorization.

252071568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83381 (or 83369 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 252071568 is about 15876.7618864805. The cubic root of 252071568 is about 631.6957489768.

It can be divided in two parts, 2520 and 71568, that added together give a cube (74088 = 42³).

The spelling of 252071568 in words is "two hundred fifty-two million, seventy-one thousand, five hundred sixty-eight".