253128 has 32 divisors (see below), whose sum is σ = 648000. Its totient is φ = 82368.

The previous prime is 253109. The next prime is 253133. The reversal of 253128 is 821352.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 253128.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1173 + ... + 1371.

It is an arithmetic number, because the mean of its divisors is an integer number (20250).

2²⁵³¹²⁸ 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 253128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324000).

253128 is an abundant number, since it is smaller than the sum of its proper divisors (394872).

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

253128 is a wasteful number, since it uses less digits than its factorization.

253128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 257 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 253128 is about 503.1182763526. The cubic root of 253128 is about 63.2576998026.

The spelling of 253128 in words is "two hundred fifty-three thousand, one hundred twenty-eight".