252771568 has 80 divisors (see below), whose sum is σ = 579726784. Its totient is φ = 104509440.

The previous prime is 252771527. The next prime is 252771577. The reversal of 252771568 is 865177252.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 749896 + ... + 750232.

Almost surely, 2^252771568 is an apocalyptic number.

252771568 is a gapful number since it is divisible by the number (28) 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 252771568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289863392).

252771568 is an abundant number, since it is smaller than the sum of its proper divisors (326955216).

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

252771568 is a wasteful number, since it uses less digits than its factorization.

252771568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 564 counting only the distinct ones).

The product of its digits is 235200, while the sum is 43.

The square root of 252771568 is about 15898.7914006065. The cubic root of 252771568 is about 632.2799459464.

It can be divided in two parts, 252 and 771568, that multiplied together give a square (194435136 = 13944²).

The spelling of 252771568 in words is "two hundred fifty-two million, seven hundred seventy-one thousand, five hundred sixty-eight".