252584209 has 2 divisors, whose sum is σ = 252584210. Its totient is φ = 252584208.

The previous prime is 252584207. The next prime is 252584239. The reversal of 252584209 is 902485252.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 237930625 + 14653584 = 15425^2 + 3828^2 .

It is a cyclic number.

It is not a de Polignac number, because 252584209 - 2¹ = 252584207 is a prime.

Together with 252584207, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (252584201) 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 as a sum of consecutive naturals, namely, 126292104 + 126292105.

It is an arithmetic number, because the mean of its divisors is an integer number (126292105).

Almost surely, 2^252584209 is an apocalyptic number.

It is an amenable number.

252584209 is a deficient number, since it is larger than the sum of its proper divisors (1).

252584209 is an equidigital number, since it uses as much as digits as its factorization.

252584209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 252584209 is about 15892.8980680051. The cubic root of 252584209 is about 632.1236881039.

The spelling of 252584209 in words is "two hundred fifty-two million, five hundred eighty-four thousand, two hundred nine".