253088 has 24 divisors (see below), whose sum is σ = 544320. Its totient is φ = 114880.

The previous prime is 253081. The next prime is 253103. The reversal of 253088 is 880352.

253088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 253088.

It is not an unprimeable number, because it can be changed into a prime (253081) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8 + ... + 711.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2²⁵³⁰⁸⁸ 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 253088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272160).

253088 is an abundant number, since it is smaller than the sum of its proper divisors (291232).

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

253088 is a wasteful number, since it uses less digits than its factorization.

253088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 253088 is about 503.0785226980. The cubic root of 253088 is about 63.2543675738.

Subtracting 253088 from its reverse (880352), we obtain a square (627264 = 792²).

It can be divided in two parts, 25 and 3088, that added together give a palindrome (3113).

The spelling of 253088 in words is "two hundred fifty-three thousand, eighty-eight".