253520100 has 108 divisors (see below), whose sum is σ = 802800180. Its totient is φ = 66912000.

The previous prime is 253520093. The next prime is 253520107. The reversal of 253520100 is 1025352.

It is a happy number.

253520100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (253520093) and next prime (253520107).

It can be written as a sum of positive squares in 6 ways, for example, as 11655396 + 241864704 = 3414^2 + 15552^2 .

It is a super-2 number, since 2×253520100² = 128544882208020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253520107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 89506 + ... + 92294.

It is an arithmetic number, because the mean of its divisors is an integer number (7433335).

Almost surely, 2^253520100 is an apocalyptic number.

253520100 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 253520100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401400090).

253520100 is an abundant number, since it is smaller than the sum of its proper divisors (549280080).

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

253520100 is a wasteful number, since it uses less digits than its factorization.

253520100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2910 (or 2900 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 253520100 is about 15922.3145302434. The cubic root of 253520100 is about 632.9034540505.

Adding to 253520100 its reverse (1025352), we get a palindrome (254545452).

The spelling of 253520100 in words is "two hundred fifty-three million, five hundred twenty thousand, one hundred".