253119168 has 140 divisors (see below), whose sum is σ = 757531632. Its totient is φ = 83566080.

The previous prime is 253119151. The next prime is 253119169. The reversal of 253119168 is 861911352.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (253119169) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 813733 + ... + 814043.

Almost surely, 2^253119168 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 253119168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378765816).

253119168 is an abundant number, since it is smaller than the sum of its proper divisors (504412464).

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

253119168 is a wasteful number, since it uses less digits than its factorization.

253119168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 473 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 253119168 is about 15909.7192935639. The cubic root of 253119168 is about 632.5696407668.

The spelling of 253119168 in words is "two hundred fifty-three million, one hundred nineteen thousand, one hundred sixty-eight".