253552 has 40 divisors (see below), whose sum is σ = 562464. Its totient is φ = 109824.

The previous prime is 253543. The next prime is 253553. The reversal of 253552 is 255352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253553) by changing a digit.

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, 4758 + ... + 4810.

2²⁵³⁵⁵² 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 253552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281232).

253552 is an abundant number, since it is smaller than the sum of its proper divisors (308912).

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

253552 is a wasteful number, since it uses less digits than its factorization.

253552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 91 counting only the distinct ones).

The product of its digits is 1500, while the sum is 22.

The square root of 253552 is about 503.5394721370. The cubic root of 253552 is about 63.2929998656.

It can be divided in two parts, 253 and 552, that multiplied together give a triangular number (139656 = T₅₂₈).

The spelling of 253552 in words is "two hundred fifty-three thousand, five hundred fifty-two".