252759 has 8 divisors (see below), whose sum is σ = 362992. Its totient is φ = 155520.

The previous prime is 252737. The next prime is 252761. The reversal of 252759 is 957252.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 252759 - 2⁵ = 252727 is a prime.

It is a super-2 number, since 2×252759² = 127774224162, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252709) 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, 3202 + ... + 3279.

It is an arithmetic number, because the mean of its divisors is an integer number (45374).

2²⁵²⁷⁵⁹ is an apocalyptic number.

252759 is a deficient number, since it is larger than the sum of its proper divisors (110233).

252759 is a wasteful number, since it uses less digits than its factorization.

252759 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6497.

The product of its digits is 6300, while the sum is 30.

The square root of 252759 is about 502.7514296350. The cubic root of 252759 is about 63.2269466622.

It can be divided in two parts, 25275 and 9, that multiplied together give a triangular number (227475 = T₆₇₄).

The spelling of 252759 in words is "two hundred fifty-two thousand, seven hundred fifty-nine".