252580509 has 54 divisors (see below), whose sum is σ = 410554170. Its totient is φ = 149582592.

The previous prime is 252580507. The next prime is 252580513. The reversal of 252580509 is 905085252.

252580509 is a `hidden beast` number, since 2 + 525 + 80 + 50 + 9 = 666.

252580509 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 42968025 + 209612484 = 6555^2 + 14478^2 .

It is not a de Polignac number, because 252580509 - 2¹ = 252580507 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252580507) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 938827 + ... + 939095.

It is an arithmetic number, because the mean of its divisors is an integer number (7602855).

Almost surely, 2^252580509 is an apocalyptic number.

It is an amenable number.

252580509 is a deficient number, since it is larger than the sum of its proper divisors (157973661).

252580509 is a wasteful number, since it uses less digits than its factorization.

252580509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 252580509 is about 15892.7816633842. The cubic root of 252580509 is about 632.1206015174.

The spelling of 252580509 in words is "two hundred fifty-two million, five hundred eighty thousand, five hundred nine".