253058688 has 128 divisors (see below), whose sum is σ = 767448000. Its totient is φ = 82031616.

The previous prime is 253058647. The next prime is 253058713. The reversal of 253058688 is 886850352.

It is a happy number.

253058688 is a `hidden beast` number, since 2 + 530 + 58 + 68 + 8 = 666.

253058688 is digitally balanced in base 3, 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 (128).

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, 126883 + ... + 128861.

Almost surely, 2^253058688 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 253058688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383724000).

253058688 is an abundant number, since it is smaller than the sum of its proper divisors (514389312).

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

253058688 is a wasteful number, since it uses less digits than its factorization.

253058688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2039 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 253058688 is about 15907.8184550868. The cubic root of 253058688 is about 632.5192549352.

The spelling of 253058688 in words is "two hundred fifty-three million, fifty-eight thousand, six hundred eighty-eight".