259552 has 12 divisors (see below), whose sum is σ = 511056. Its totient is φ = 129760.

The previous prime is 259547. The next prime is 259577. The reversal of 259552 is 255952.

It is a self number, because there is not a number n which added to its sum of digits gives 259552.

It is a congruent number.

It is an unprimeable number.

259552 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 as a sum of consecutive naturals, namely, 4024 + ... + 4087.

It is an arithmetic number, because the mean of its divisors is an integer number (42588).

2²⁵⁹⁵⁵² is an apocalyptic number.

It is an amenable number.

259552 is a deficient number, since it is larger than the sum of its proper divisors (251504).

259552 is an equidigital number, since it uses as much as digits as its factorization.

259552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8121 (or 8113 counting only the distinct ones).

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

The square root of 259552 is about 509.4624618164. The cubic root of 259552 is about 63.7883634271.

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

It can be divided in two parts, 2595 and 52, that multiplied together give a triangular number (134940 = T₅₁₉).

The spelling of 259552 in words is "two hundred fifty-nine thousand, five hundred fifty-two".