255952 has 20 divisors (see below), whose sum is σ = 525636. Its totient is φ = 120320.

The previous prime is 255947. The next prime is 255961. The reversal of 255952 is 259552.

It can be written as a sum of positive squares in 2 ways, for example, as 179776 + 76176 = 424^2 + 276^2 .

It is a super-2 number, since 2×255952² = 131022852608, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 255952.

It is a congruent number.

It is an unprimeable number.

255952 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 3 ways as a sum of consecutive naturals, for example, 199 + ... + 742.

2²⁵⁵⁹⁵² is an apocalyptic number.

It is an amenable number.

255952 is an abundant number, since it is smaller than the sum of its proper divisors (269684).

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

255952 is a wasteful number, since it uses less digits than its factorization.

255952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 960 counting only the distinct ones).

The product of its digits is 4500, while the sum is 28.

The square root of 255952 is about 505.9169892384. The cubic root of 255952 is about 63.4920733280.

Subtracting 255952 from its reverse (259552), we obtain a square (3600 = 60²).

The spelling of 255952 in words is "two hundred fifty-five thousand, nine hundred fifty-two".