253318560 has 96 divisors (see below), whose sum is σ = 870512832. Its totient is φ = 61409280.

The previous prime is 253318529. The next prime is 253318591. The reversal of 253318560 is 65813352.

It is an interprime number because it is at equal distance from previous prime (253318529) and next prime (253318591).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18709 + ... + 29268.

It is an arithmetic number, because the mean of its divisors is an integer number (9067842).

Almost surely, 2^253318560 is an apocalyptic number.

253318560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253318560 is an abundant number, since it is smaller than the sum of its proper divisors (617194272).

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

253318560 is a wasteful number, since it uses less digits than its factorization.

253318560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48006 (or 47998 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 253318560 is about 15915.9844181879. The cubic root of 253318560 is about 632.7356972299.

It can be divided in two parts, 253 and 318560, that added together give a palindrome (318813).

The spelling of 253318560 in words is "two hundred fifty-three million, three hundred eighteen thousand, five hundred sixty".