253913616 has 140 divisors (see below), whose sum is σ = 805060080. Its totient is φ = 76904640.

The previous prime is 253913609. The next prime is 253913623. The reversal of 253913616 is 616319352.

253913616 is a `hidden beast` number, since 2 + 5 + 39 + 1 + 3 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (253913609) and next prime (253913623).

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

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 27 ways as a sum of consecutive naturals, for example, 127315 + ... + 129293.

Almost surely, 2^253913616 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 253913616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402530040).

253913616 is an abundant number, since it is smaller than the sum of its proper divisors (551146464).

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

253913616 is a wasteful number, since it uses less digits than its factorization.

253913616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016 (or 1995 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 253913616 is about 15934.6671129334. The cubic root of 253913616 is about 633.2307507599.

The spelling of 253913616 in words is "two hundred fifty-three million, nine hundred thirteen thousand, six hundred sixteen".