259364961 has 12 divisors (see below), whose sum is σ = 374896080. Its totient is φ = 172791000.

The previous prime is 259364947. The next prime is 259364969. The reversal of 259364961 is 169463952.

It is not a de Polignac number, because 259364961 - 2¹⁵ = 259332193 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (259364969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5086 + ... + 23336.

It is an arithmetic number, because the mean of its divisors is an integer number (31241340).

Almost surely, 2^259364961 is an apocalyptic number.

It is an amenable number.

259364961 is a deficient number, since it is larger than the sum of its proper divisors (115531119).

259364961 is a wasteful number, since it uses less digits than its factorization.

259364961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19836 (or 19833 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 259364961 is about 16104.8117343855. The cubic root of 259364961 is about 637.7303730262.

The spelling of 259364961 in words is "two hundred fifty-nine million, three hundred sixty-four thousand, nine hundred sixty-one".