252502761 has 16 divisors (see below), whose sum is σ = 405017600. Its totient is φ = 136693008.

The previous prime is 252502741. The next prime is 252502771. The reversal of 252502761 is 167205252.

It is not a de Polignac number, because 252502761 - 2⁷ = 252502633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (252502741) 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, 316021 + ... + 316818.

It is an arithmetic number, because the mean of its divisors is an integer number (25313600).

Almost surely, 2^252502761 is an apocalyptic number.

252502761 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

252502761 is a deficient number, since it is larger than the sum of its proper divisors (152514839).

252502761 is a wasteful number, since it uses less digits than its factorization.

252502761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632868.

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 252502761 is about 15890.3354590141. The cubic root of 252502761 is about 632.0557361850.

The spelling of 252502761 in words is "two hundred fifty-two million, five hundred two thousand, seven hundred sixty-one".