252809 has 4 divisors (see below), whose sum is σ = 254100. Its totient is φ = 251520.

The previous prime is 252779. The next prime is 252817. The reversal of 252809 is 908252.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 211600 + 41209 = 460^2 + 203^2 .

It is a cyclic number.

It is not a de Polignac number, because 252809 - 2¹⁶ = 187273 is a prime.

It is a super-3 number, since 3×252809³ = 48472882575333387, which contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 252809.

It is not an unprimeable number, because it can be changed into a prime (252829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 284 + ... + 765.

It is an arithmetic number, because the mean of its divisors is an integer number (63525).

2²⁵²⁸⁰⁹ is an apocalyptic number.

It is an amenable number.

252809 is a deficient number, since it is larger than the sum of its proper divisors (1291).

252809 is a wasteful number, since it uses less digits than its factorization.

252809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290.

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 252809 is about 502.8011535389. The cubic root of 252809 is about 63.2311155067.

It can be divided in two parts, 25 and 2809, that multiplied together give a square (70225 = 265²).

The spelling of 252809 in words is "two hundred fifty-two thousand, eight hundred nine".