253524 has 24 divisors (see below), whose sum is σ = 608608. Its totient is φ = 82080.

The previous prime is 253507. The next prime is 253531. The reversal of 253524 is 425352.

It is a self number, because there is not a number n which added to its sum of digits gives 253524.

It is a congruent number.

It is an unprimeable number.

253524 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, 159 + ... + 729.

2²⁵³⁵²⁴ is an apocalyptic number.

It is an amenable number.

253524 is an abundant number, since it is smaller than the sum of its proper divisors (355084).

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

253524 is a wasteful number, since it uses less digits than its factorization.

253524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 613 counting only the distinct ones).

The product of its digits is 1200, while the sum is 21.

The square root of 253524 is about 503.5116681865. The cubic root of 253524 is about 63.2906699435.

Adding to 253524 its reverse (425352), we get a palindrome (678876).

It can be divided in two parts, 253 and 524, that added together give a palindrome (777).

The spelling of 253524 in words is "two hundred fifty-three thousand, five hundred twenty-four".