253118665881 has 15 divisors (see below), whose sum is σ = 378122302063. Its totient is φ = 168742758600.

The previous prime is 253118665873. The next prime is 253118665883. The reversal of 253118665881 is 188566811352.

The square root of 253118665881 is 503109.

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

253118665881 is a `hidden beast` number, since 2 + 53 + 1 + 1 + 8 + 6 + 6 + 588 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 241023065481 + 12095600400 = 490941^2 + 109980^2 .

It is not a de Polignac number, because 253118665881 - 2³ = 253118665873 is a prime.

It is a super-2 number, since 2×253118665881² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (253118665883) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4500031 + ... + 4555931.

Almost surely, 2^253118665881 is an apocalyptic number.

253118665881 is the 503109-th square number.

253118665881 is the 251555-th centered octagonal number.

It is an amenable number.

253118665881 is a deficient number, since it is larger than the sum of its proper divisors (125003636182).

253118665881 is an frugal number, since it uses more digits than its factorization.

253118665881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111814 (or 55904 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 54.

The spelling of 253118665881 in words is "two hundred fifty-three billion, one hundred eighteen million, six hundred sixty-five thousand, eight hundred eighty-one".