253012224 has 72 divisors (see below), whose sum is σ = 713028960. Its totient is φ = 79372288.

The previous prime is 253012219. The next prime is 253012229. The reversal of 253012224 is 422210352.

253012224 is digitally balanced in base 3, 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 (253012219) and next prime (253012229).

It is a self number, because there is not a number n which added to its sum of digits gives 253012224.

It is not an unprimeable number, because it can be changed into a prime (253012229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3367 + ... + 22745.

It is an arithmetic number, because the mean of its divisors is an integer number (9903180).

Almost surely, 2^253012224 is an apocalyptic number.

253012224 is a gapful number since it is divisible by the number (24) 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 253012224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356514480).

253012224 is an abundant number, since it is smaller than the sum of its proper divisors (460016736).

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

253012224 is a wasteful number, since it uses less digits than its factorization.

253012224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19415 (or 19401 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 253012224 is about 15906.3579740933. The cubic root of 253012224 is about 632.4805403669.

Adding to 253012224 its reverse (422210352), we get a palindrome (675222576).

The spelling of 253012224 in words is "two hundred fifty-three million, twelve thousand, two hundred twenty-four".