259085952 has 80 divisors (see below), whose sum is σ = 771066450. Its totient is φ = 86358528.

The previous prime is 259085927. The next prime is 259085977. The reversal of 259085952 is 259580952.

259085952 is a `hidden beast` number, since 2 + 59 + 0 + 8 + 595 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (259085927) and next prime (259085977).

It can be written as a sum of positive squares in only one way, i.e., 137733696 + 121352256 = 11736^2 + 11016^2 .

It is a junction number, because it is equal to n+sod(n) for n = 259085898 and 259085907.

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 9 ways as a sum of consecutive naturals, for example, 2127 + ... + 22862.

Almost surely, 2^259085952 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 259085952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385533225).

259085952 is an abundant number, since it is smaller than the sum of its proper divisors (511980498).

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

259085952 is an equidigital number, since it uses as much as digits as its factorization.

259085952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25015 (or 24994 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The square root of 259085952 is about 16096.1471166239. The cubic root of 259085952 is about 637.5016138367.

The spelling of 259085952 in words is "two hundred fifty-nine million, eighty-five thousand, nine hundred fifty-two".