253383312 has 120 divisors (see below), whose sum is σ = 820114176. Its totient is φ = 66818304.

The previous prime is 253383311. The next prime is 253383349. The reversal of 253383312 is 213383352.

It is a self number, because there is not a number n which added to its sum of digits gives 253383312.

It is not an unprimeable number, because it can be changed into a prime (253383311) 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, 26433 + ... + 34719.

Almost surely, 2^253383312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253383312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410057088).

253383312 is an abundant number, since it is smaller than the sum of its proper divisors (566730864).

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

253383312 is a wasteful number, since it uses less digits than its factorization.

253383312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8325 (or 8312 counting only the distinct ones).

The product of its digits is 12960, while the sum is 30.

The square root of 253383312 is about 15918.0184696463. The cubic root of 253383312 is about 632.7896048623.

The spelling of 253383312 in words is "two hundred fifty-three million, three hundred eighty-three thousand, three hundred twelve".