253163520 has 288 divisors, whose sum is σ = 912234960. Its totient is φ = 64880640.

The previous prime is 253163503. The next prime is 253163567. The reversal of 253163520 is 25361352.

253163520 is a `hidden beast` number, since 2 + 5 + 3 + 1 + 635 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3778527 + ... + 3778593.

Almost surely, 2^253163520 is an apocalyptic number.

253163520 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 253163520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456117480).

253163520 is an abundant number, since it is smaller than the sum of its proper divisors (659071440).

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

253163520 is a wasteful number, since it uses less digits than its factorization.

253163520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 253163520 is about 15911.1130974549. The cubic root of 253163520 is about 632.6065852759.

The spelling of 253163520 in words is "two hundred fifty-three million, one hundred sixty-three thousand, five hundred twenty".