259112 has 24 divisors (see below), whose sum is σ = 566010. Its totient is φ = 110880.

The previous prime is 259099. The next prime is 259121. The reversal of 259112 is 211952.

259112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 188356 + 70756 = 434^2 + 266^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 259112.

It is an unprimeable number.

259112 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 62 + ... + 722.

2²⁵⁹¹¹² 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 259112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283005).

259112 is an abundant number, since it is smaller than the sum of its proper divisors (306898).

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

259112 is a wasteful number, since it uses less digits than its factorization.

259112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 670 counting only the distinct ones).

The product of its digits is 180, while the sum is 20.

The square root of 259112 is about 509.0304509555. The cubic root of 259112 is about 63.7522977513.

The spelling of 259112 in words is "two hundred fifty-nine thousand, one hundred twelve".