259032 has 32 divisors (see below), whose sum is σ = 665280. Its totient is φ = 84000.

The previous prime is 259019. The next prime is 259033. The reversal of 259032 is 230952.

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 259032.

It is not an unprimeable number, because it can be changed into a prime (259033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 907 + ... + 1157.

It is an arithmetic number, because the mean of its divisors is an integer number (20790).

2²⁵⁹⁰³² 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 259032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332640).

259032 is an abundant number, since it is smaller than the sum of its proper divisors (406248).

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

259032 is a wasteful number, since it uses less digits than its factorization.

259032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 259032 is about 508.9518641286. The cubic root of 259032 is about 63.7457359701.

Adding to 259032 its reverse (230952), we get a palindrome (489984).

The spelling of 259032 in words is "two hundred fifty-nine thousand, thirty-two".