253413453132112 has 160 divisors (see below), whose sum is σ = 636117616977920. Its totient is φ = 94972235097600.

The previous prime is 253413453132097. The next prime is 253413453132113. The reversal of 253413453132112 is 211231354314352.

It is a super-2 number, since 2×253413453132112² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253413453132113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1074656173 + ... + 1074891955.

It is an arithmetic number, because the mean of its divisors is an integer number (3975735106112).

Almost surely, 2^{253413453132112} 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 253413453132112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318058808488960).

253413453132112 is an abundant number, since it is smaller than the sum of its proper divisors (382704163845808).

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

253413453132112 is a wasteful number, since it uses less digits than its factorization.

253413453132112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274681 (or 274675 counting only the distinct ones).

The product of its digits is 259200, while the sum is 40.

The spelling of 253413453132112 in words is "two hundred fifty-three trillion, four hundred thirteen billion, four hundred fifty-three million, one hundred thirty-two thousand, one hundred twelve".