253119560 has 64 divisors (see below), whose sum is σ = 582649200. Its totient is φ = 98942976.

The previous prime is 253119547. The next prime is 253119571. The reversal of 253119560 is 65911352.

It can be written as a sum of positive squares in 8 ways, for example, as 140801956 + 112317604 = 11866^2 + 10598^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344954 + ... + 345686.

Almost surely, 2^253119560 is an apocalyptic number.

253119560 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 253119560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291324600).

253119560 is an abundant number, since it is smaller than the sum of its proper divisors (329529640).

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

253119560 is a wasteful number, since it uses less digits than its factorization.

253119560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 32.

The square root of 253119560 is about 15909.7316130725. The cubic root of 253119560 is about 632.5699673155.

The spelling of 253119560 in words is "two hundred fifty-three million, one hundred nineteen thousand, five hundred sixty".