259032032 has 108 divisors (see below), whose sum is σ = 620869536. Its totient is φ = 105960960.

The previous prime is 259032029. The next prime is 259032061. The reversal of 259032032 is 230230952.

It is a junction number, because it is equal to n+sod(n) for n = 259031992 and 259032010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3548348 + ... + 3548420.

It is an arithmetic number, because the mean of its divisors is an integer number (5748792).

Almost surely, 2^259032032 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 259032032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310434768).

259032032 is an abundant number, since it is smaller than the sum of its proper divisors (361837504).

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

259032032 is an equidigital number, since it uses as much as digits as its factorization.

259032032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 259032032 is about 16094.4720944801. The cubic root of 259032032 is about 637.4573859507.

Adding to 259032032 its reverse (230230952), we get a palindrome (489262984).

The spelling of 259032032 in words is "two hundred fifty-nine million, thirty-two thousand, thirty-two".