253015056 has 160 divisors (see below), whose sum is σ = 857088000. Its totient is φ = 69932160.

The previous prime is 253015043. The next prime is 253015079. The reversal of 253015056 is 650510352.

253015056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92395 + ... + 95093.

It is an arithmetic number, because the mean of its divisors is an integer number (5356800).

Almost surely, 2^253015056 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 253015056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428544000).

253015056 is an abundant number, since it is smaller than the sum of its proper divisors (604072944).

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

253015056 is a wasteful number, since it uses less digits than its factorization.

253015056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 253015056 is about 15906.4469948509. The cubic root of 253015056 is about 632.4829001715.

The spelling of 253015056 in words is "two hundred fifty-three million, fifteen thousand, fifty-six".