259113864 has 64 divisors (see below), whose sum is σ = 690042240. Its totient is φ = 80798720.

The previous prime is 259113851. The next prime is 259113871. The reversal of 259113864 is 468311952.

259113864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68749 + ... + 72419.

It is an arithmetic number, because the mean of its divisors is an integer number (10781910).

Almost surely, 2^259113864 is an apocalyptic number.

259113864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259113864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345021120).

259113864 is an abundant number, since it is smaller than the sum of its proper divisors (430928376).

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

259113864 is a wasteful number, since it uses less digits than its factorization.

259113864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3870 (or 3866 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 259113864 is about 16097.0141330621. The cubic root of 259113864 is about 637.5245062475.

The spelling of 259113864 in words is "two hundred fifty-nine million, one hundred thirteen thousand, eight hundred sixty-four".