253103251120 has 40 divisors (see below), whose sum is σ = 599568183216. Its totient is φ = 99331085568.

The previous prime is 253103251033. The next prime is 253103251123. The reversal of 253103251120 is 21152301352.

253103251120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×253103251120² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (253103251123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29842842 + ... + 29851321.

Almost surely, 2^253103251120 is an apocalyptic number.

253103251120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253103251120 is an abundant number, since it is smaller than the sum of its proper divisors (346464932096).

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

253103251120 is a wasteful number, since it uses less digits than its factorization.

253103251120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59694229 (or 59694223 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 253103251120 its reverse (21152301352), we get a palindrome (274255552472).

The spelling of 253103251120 in words is "two hundred fifty-three billion, one hundred three million, two hundred fifty-one thousand, one hundred twenty".