252506265361 has 24 divisors (see below), whose sum is σ = 297970776360. Its totient is φ = 213325846272.

The previous prime is 252506265287. The next prime is 252506265391. The reversal of 252506265361 is 163562605252.

It can be written as a sum of positive squares in 4 ways, for example, as 22639716225 + 229866549136 = 150465^2 + 479444^2 .

It is not a de Polignac number, because 252506265361 - 2²⁷ = 252372047633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (252506265391) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1291111 + ... + 1473763.

It is an arithmetic number, because the mean of its divisors is an integer number (12415449015).

Almost surely, 2^252506265361 is an apocalyptic number.

It is an amenable number.

252506265361 is a deficient number, since it is larger than the sum of its proper divisors (45464510999).

252506265361 is a wasteful number, since it uses less digits than its factorization.

252506265361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183073 (or 183066 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 43.

The spelling of 252506265361 in words is "two hundred fifty-two billion, five hundred six million, two hundred sixty-five thousand, three hundred sixty-one".