252509 has 2 divisors, whose sum is σ = 252510. Its totient is φ = 252508.

The previous prime is 252481. The next prime is 252533. The reversal of 252509 is 905252.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 228484 + 24025 = 478^2 + 155^2 .

It is a cyclic number.

It is not a de Polignac number, because 252509 - 2⁸ = 252253 is a prime.

It is a Chen prime.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 252509.

It is not a weakly prime, because it can be changed into another prime (252559) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126254 + 126255.

It is an arithmetic number, because the mean of its divisors is an integer number (126255).

2²⁵²⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

252509 is a deficient number, since it is larger than the sum of its proper divisors (1).

252509 is an equidigital number, since it uses as much as digits as its factorization.

252509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 252509 is about 502.5027363110. The cubic root of 252509 is about 63.2060941888.

The spelling of 252509 in words is "two hundred fifty-two thousand, five hundred nine".