259312 has 20 divisors (see below), whose sum is σ = 529480. Its totient is φ = 122688.

The previous prime is 259309. The next prime is 259321. The reversal of 259312 is 213952.

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 259312.

It is an unprimeable 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, 123 + ... + 730.

It is an arithmetic number, because the mean of its divisors is an integer number (26474).

2²⁵⁹³¹² is an apocalyptic number.

It is an amenable number.

259312 is an abundant number, since it is smaller than the sum of its proper divisors (270168).

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

259312 is a wasteful number, since it uses less digits than its factorization.

259312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 874 counting only the distinct ones).

The product of its digits is 540, while the sum is 22.

The square root of 259312 is about 509.2268649630. The cubic root of 259312 is about 63.7686962977.

It can be divided in two parts, 259 and 312, that multiplied together give a palindrome (80808).

The spelling of 259312 in words is "two hundred fifty-nine thousand, three hundred twelve".