253006117056 has 2016 divisors, whose sum is σ = 1089533203200. Its totient is φ = 56574443520.

The previous prime is 253006117009. The next prime is 253006117061. The reversal of 253006117056 is 650711600352.

253006117056 is a `hidden beast` number, since 2 + 5 + 30 + 0 + 611 + 7 + 0 + 5 + 6 = 666.

253006117056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a self number, because there is not a number n which added to its sum of digits gives 253006117056.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8724348850 + ... + 8724348878.

Almost surely, 2^253006117056 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 253006117056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544766601600).

253006117056 is an abundant number, since it is smaller than the sum of its proper divisors (836527086144).

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

253006117056 is a wasteful number, since it uses less digits than its factorization.

253006117056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 253006117056 in words is "two hundred fifty-three billion, six million, one hundred seventeen thousand, fifty-six".