253138608 has 100 divisors (see below), whose sum is σ = 752600640. Its totient is φ = 82083456.

The previous prime is 253138597. The next prime is 253138609. The reversal of 253138608 is 806831352.

253138608 is digitally balanced in base 2, 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 (36).

It is not an unprimeable number, because it can be changed into a prime (253138609) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45313 + ... + 50591.

Almost surely, 2^253138608 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 253138608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376300320).

253138608 is an abundant number, since it is smaller than the sum of its proper divisors (499462032).

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

253138608 is a wasteful number, since it uses less digits than its factorization.

253138608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5336 (or 5321 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 253138608 is about 15910.3302291310. The cubic root of 253138608 is about 632.5858345082.

The spelling of 253138608 in words is "two hundred fifty-three million, one hundred thirty-eight thousand, six hundred eight".