253112100 has 72 divisors (see below), whose sum is σ = 746202240. Its totient is φ = 66218880.

The previous prime is 253112063. The next prime is 253112107. The reversal of 253112100 is 1211352.

253112100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 253112100.

It is not an unprimeable number, because it can be changed into a prime (253112107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7941 + ... + 23859.

It is an arithmetic number, because the mean of its divisors is an integer number (10363920).

Almost surely, 2^253112100 is an apocalyptic number.

253112100 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 253112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373101120).

253112100 is an abundant number, since it is smaller than the sum of its proper divisors (493090140).

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

253112100 is a wasteful number, since it uses less digits than its factorization.

253112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15989 (or 15982 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 253112100 is about 15909.4971636441. The cubic root of 253112100 is about 632.5637528368.

Adding to 253112100 its reverse (1211352), we get a palindrome (254323452).

The spelling of 253112100 in words is "two hundred fifty-three million, one hundred twelve thousand, one hundred".