253531431102500 has 120 divisors (see below), whose sum is σ = 554799964406688. Its totient is φ = 101343564000000.

The previous prime is 253531431102491. The next prime is 253531431102511. The reversal of 253531431102500 is 5201134135352.

It is a happy number.

253531431102500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36213599000 + ... + 36213606000.

Almost surely, 2^{253531431102500} is an apocalyptic number.

253531431102500 is a gapful number since it is divisible by the number (20) 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 253531431102500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277399982203344).

253531431102500 is an abundant number, since it is smaller than the sum of its proper divisors (301268533304188).

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

253531431102500 is a wasteful number, since it uses less digits than its factorization.

253531431102500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14815 (or 14798 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 35.

Adding to 253531431102500 its reverse (5201134135352), we get a palindrome (258732565237852).

The spelling of 253531431102500 in words is "two hundred fifty-three trillion, five hundred thirty-one billion, four hundred thirty-one million, one hundred two thousand, five hundred".