253528 has 32 divisors (see below), whose sum is σ = 538560. Its totient is φ = 110880.

The previous prime is 253507. The next prime is 253531. The reversal of 253528 is 825352.

It is a congruent number.

It is an unprimeable number.

253528 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3751 + ... + 3817.

It is an arithmetic number, because the mean of its divisors is an integer number (16830).

2²⁵³⁵²⁸ 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 253528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269280).

253528 is an abundant number, since it is smaller than the sum of its proper divisors (285032).

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

253528 is a wasteful number, since it uses less digits than its factorization.

253528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 123 counting only the distinct ones).

The product of its digits is 2400, while the sum is 25.

The square root of 253528 is about 503.5156402735. The cubic root of 253528 is about 63.2910028000.

It can be divided in two parts, 25 and 3528, that added together give a palindrome (3553).

The spelling of 253528 in words is "two hundred fifty-three thousand, five hundred twenty-eight".