252760579009 has 9 divisors (see below), whose sum is σ = 253898364289. Its totient is φ = 251627876500.

The previous prime is 252760578997. The next prime is 252760579153. The reversal of 252760579009 is 900975067252.

The square root of 252760579009 is 502753.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 252760579009 - 2²³ = 252752190401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (252760579909) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 126190002 + ... + 126192004.

Almost surely, 2^252760579009 is an apocalyptic number.

252760579009 is the 502753-rd square number.

252760579009 is the 251377-th centered octagonal number.

It is an amenable number.

252760579009 is a deficient number, since it is larger than the sum of its proper divisors (1137785280).

252760579009 is an frugal number, since it uses more digits than its factorization.

252760579009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4508 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 52.

The spelling of 252760579009 in words is "two hundred fifty-two billion, seven hundred sixty million, five hundred seventy-nine thousand, nine".