253952 has 28 divisors (see below), whose sum is σ = 524256. Its totient is φ = 122880.

The previous prime is 253951. The next prime is 253969. The reversal of 253952 is 259352.

253952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×253952³ = 49133326354612224, which contains 333 as substring.

It is a nialpdrome in base 2, base 4 and base 8.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 253952.

It is not an unprimeable number, because it can be changed into a prime (253951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8177 + ... + 8207.

253952 is a Friedman number, since it can be written as (5+3^5)*2*2^9, using all its digits and the basic arithmetic operations.

2²⁵³⁹⁵² 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 253952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262128).

253952 is an abundant number, since it is smaller than the sum of its proper divisors (270304).

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

253952 is an frugal number, since it uses more digits than its factorization.

253952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 33 counting only the distinct ones).

The product of its digits is 2700, while the sum is 26.

The square root of 253952 is about 503.9365039368. The cubic root of 253952 is about 63.3262657549.

Adding to 253952 its product of digits (2700), we get a palindrome (256652).

The spelling of 253952 in words is "two hundred fifty-three thousand, nine hundred fifty-two".