253272615561 has 128 divisors (see below), whose sum is σ = 450712064000. Its totient is φ = 140426395200.

The previous prime is 253272615523. The next prime is 253272615569. The reversal of 253272615561 is 165516272352.

It is a happy number.

253272615561 is a `hidden beast` number, since 2 + 5 + 3 + 2 + 72 + 6 + 15 + 561 = 666.

It is not a de Polignac number, because 253272615561 - 2²⁹ = 252735744649 is a prime.

It is a super-2 number, since 2×253272615561² (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 (253272615569) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62518986 + ... + 62523036.

It is an arithmetic number, because the mean of its divisors is an integer number (3521188000).

Almost surely, 2^253272615561 is an apocalyptic number.

253272615561 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

253272615561 is a deficient number, since it is larger than the sum of its proper divisors (197439448439).

253272615561 is a wasteful number, since it uses less digits than its factorization.

253272615561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4281 (or 4261 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The spelling of 253272615561 in words is "two hundred fifty-three billion, two hundred seventy-two million, six hundred fifteen thousand, five hundred sixty-one".