253080816561 has 48 divisors (see below), whose sum is σ = 381234672000. Its totient is φ = 161583206400.

The previous prime is 253080816509. The next prime is 253080816577. The reversal of 253080816561 is 165618080352.

253080816561 is a `hidden beast` number, since 2 + 5 + 3 + 0 + 8 + 0 + 81 + 6 + 561 = 666.

It is not a de Polignac number, because 253080816561 - 2¹⁹ = 253080292273 is a prime.

It is a super-2 number, since 2×253080816561² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (253080816581) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51114636 + ... + 51119586.

It is an arithmetic number, because the mean of its divisors is an integer number (7942389000).

Almost surely, 2^253080816561 is an apocalyptic number.

It is an amenable number.

253080816561 is a deficient number, since it is larger than the sum of its proper divisors (128153855439).

253080816561 is a wasteful number, since it uses less digits than its factorization.

253080816561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6534 (or 6531 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 253080816561 in words is "two hundred fifty-three billion, eighty million, eight hundred sixteen thousand, five hundred sixty-one".