253515220 has 72 divisors (see below), whose sum is σ = 655774056. Its totient is φ = 81801216.

The previous prime is 253515211. The next prime is 253515221. The reversal of 253515220 is 22515352.

It is a happy number.

253515220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 96864964 + 156650256 = 9842^2 + 12516^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253515221) 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, 9052 + ... + 24268.

It is an arithmetic number, because the mean of its divisors is an integer number (9107973).

Almost surely, 2^253515220 is an apocalyptic number.

253515220 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 253515220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327887028).

253515220 is an abundant number, since it is smaller than the sum of its proper divisors (402258836).

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

253515220 is a wasteful number, since it uses less digits than its factorization.

253515220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15257 (or 15248 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 253515220 is about 15922.1612854537. The cubic root of 253515220 is about 632.8993931119.

The spelling of 253515220 in words is "two hundred fifty-three million, five hundred fifteen thousand, two hundred twenty".