259805313 has 10 divisors (see below), whose sum is σ = 388104354. Its totient is φ = 173203488.

The previous prime is 259805303. The next prime is 259805323. The reversal of 259805313 is 313508952.

259805313 is a `hidden beast` number, since 2 + 598 + 0 + 53 + 13 = 666.

It is an interprime number because it is at equal distance from previous prime (259805303) and next prime (259805323).

It can be written as a sum of positive squares in only one way, i.e., 195356529 + 64448784 = 13977^2 + 8028^2 .

It is not a de Polignac number, because 259805313 - 2⁵ = 259805281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (259805303) by changing a digit.

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, 1603656 + ... + 1603817.

Almost surely, 2^259805313 is an apocalyptic number.

It is an amenable number.

259805313 is a deficient number, since it is larger than the sum of its proper divisors (128299041).

259805313 is an equidigital number, since it uses as much as digits as its factorization.

259805313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3207485 (or 3207476 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 259805313 is about 16118.4773784623. The cubic root of 259805313 is about 638.0910836177.

The spelling of 259805313 in words is "two hundred fifty-nine million, eight hundred five thousand, three hundred thirteen".