253470631752 has 256 divisors, whose sum is σ = 784982016000. Its totient is φ = 75255609600.

The previous prime is 253470631747. The next prime is 253470631753. The reversal of 253470631752 is 257136074352.

253470631752 is a `hidden beast` number, since 2 + 5 + 3 + 4 + 7 + 0 + 631 + 7 + 5 + 2 = 666.

It is a super-2 number, since 2×253470631752² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 253470631698 and 253470631707.

It is not an unprimeable number, because it can be changed into a prime (253470631753) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31246177 + ... + 31254287.

It is an arithmetic number, because the mean of its divisors is an integer number (3066336000).

Almost surely, 2^253470631752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253470631752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392491008000).

253470631752 is an abundant number, since it is smaller than the sum of its proper divisors (531511384248).

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

253470631752 is a wasteful number, since it uses less digits than its factorization.

253470631752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8529 (or 8519 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 253470631752 in words is "two hundred fifty-three billion, four hundred seventy million, six hundred thirty-one thousand, seven hundred fifty-two".