253252144260 has 72 divisors (see below), whose sum is σ = 768584707800. Its totient is φ = 67499923968.

The previous prime is 253252144213. The next prime is 253252144261. The reversal of 253252144260 is 62441252352.

253252144260 is a `hidden beast` number, since 2 + 5 + 3 + 252 + 144 + 260 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8773319556 + 244478824704 = 93666^2 + 494448^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (253252144261) 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, 5766 + ... + 711714.

Almost surely, 2^253252144260 is an apocalyptic number.

253252144260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253252144260 is an abundant number, since it is smaller than the sum of its proper divisors (515332563540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

253252144260 is a wasteful number, since it uses less digits than its factorization.

253252144260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707957 (or 707952 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 253252144260 in words is "two hundred fifty-three billion, two hundred fifty-two million, one hundred forty-four thousand, two hundred sixty".