253504 has 28 divisors (see below), whose sum is σ = 534924. Its totient is φ = 118784.

The previous prime is 253501. The next prime is 253507. The reversal of 253504 is 405352.

It is a happy number.

253504 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (253501) and next prime (253507).

It can be written as a sum of positive squares in 2 ways, for example, as 123904 + 129600 = 352^2 + 360^2 .

It is not an unprimeable number, because it can be changed into a prime (253501) 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, 972 + ... + 1204.

2²⁵³⁵⁰⁴ 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 253504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267462).

253504 is an abundant number, since it is smaller than the sum of its proper divisors (281420).

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

253504 is a wasteful number, since it uses less digits than its factorization.

253504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 19.

The square root of 253504 is about 503.4918072819. The cubic root of 253504 is about 63.2890056084.

Adding to 253504 its reverse (405352), we get a palindrome (658856).

It can be divided in two parts, 253 and 504, that added together give a palindrome (757).

The spelling of 253504 in words is "two hundred fifty-three thousand, five hundred four".