253497653136 has 1600 divisors, whose sum is σ = 1016334950400. Its totient is φ = 59131441152.

The previous prime is 253497653113. The next prime is 253497653161. The reversal of 253497653136 is 631356794352.

253497653136 is a `hidden beast` number, since 2 + 5 + 3 + 4 + 9 + 76 + 531 + 36 = 666.

It is a super-2 number, since 2×253497653136² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3054188551 + ... + 3054188633.

It is an arithmetic number, because the mean of its divisors is an integer number (635209344).

Almost surely, 2^253497653136 is an apocalyptic number.

253497653136 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253497653136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508167475200).

253497653136 is an abundant number, since it is smaller than the sum of its proper divisors (762837297264).

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

253497653136 is a wasteful number, since it uses less digits than its factorization.

253497653136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 203 counting only the distinct ones).

The product of its digits is 12247200, while the sum is 54.

The spelling of 253497653136 in words is "two hundred fifty-three billion, four hundred ninety-seven million, six hundred fifty-three thousand, one hundred thirty-six".