259116627 has 32 divisors (see below), whose sum is σ = 431645184. Its totient is φ = 134323200.

The previous prime is 259116617. The next prime is 259116721. The reversal of 259116627 is 726611952.

It is not a de Polignac number, because 259116627 - 2¹⁰ = 259115603 is a prime.

It is not an unprimeable number, because it can be changed into a prime (259116607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151843 + ... + 153539.

It is an arithmetic number, because the mean of its divisors is an integer number (13488912).

Almost surely, 2^259116627 is an apocalyptic number.

259116627 is a deficient number, since it is larger than the sum of its proper divisors (172528557).

259116627 is a wasteful number, since it uses less digits than its factorization.

259116627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2379.

The product of its digits is 45360, while the sum is 39.

The square root of 259116627 is about 16097.0999562033. The cubic root of 259116627 is about 637.5267722705.

It can be divided in two parts, 259 and 116627, that added together give a triangular number (116886 = T₄₈₃).

The spelling of 259116627 in words is "two hundred fifty-nine million, one hundred sixteen thousand, six hundred twenty-seven".