253008 has 60 divisors (see below), whose sum is σ = 812448. Its totient is φ = 72000.

The previous prime is 253003. The next prime is 253013. The reversal of 253008 is 800352.

253008 is nontrivially palindromic in base 5.

253008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 503²-1.

It is an interprime number because it is at equal distance from previous prime (253003) and next prime (253013).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253003) by changing a digit.

253008 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 883 + ... + 1133.

253008 is a Friedman number, since it can be written as 503^2-8^0, using all its digits and the basic arithmetic operations.

2²⁵³⁰⁰⁸ is an apocalyptic number.

253008 is a gapful number since it is divisible by the number (28) 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 253008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406224).

253008 is an abundant number, since it is smaller than the sum of its proper divisors (559440).

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

253008 is a wasteful number, since it uses less digits than its factorization.

253008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 253008 is about 502.9990059632. Note that the first 3 decimals coincide. The cubic root of 253008 is about 63.2477020626.

The spelling of 253008 in words is "two hundred fifty-three thousand, eight".