259164009 has 32 divisors (see below), whose sum is σ = 435254400. Its totient is φ = 151087680.

The previous prime is 259164007. The next prime is 259164029. The reversal of 259164009 is 900461952.

259164009 is a `hidden beast` number, since 2 + 5 + 9 + 1 + 640 + 0 + 9 = 666.

It is not a de Polignac number, because 259164009 - 2¹ = 259164007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (259164001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12762 + ... + 26099.

It is an arithmetic number, because the mean of its divisors is an integer number (13601700).

Almost surely, 2^259164009 is an apocalyptic number.

It is an amenable number.

259164009 is a deficient number, since it is larger than the sum of its proper divisors (176090391).

259164009 is a wasteful number, since it uses less digits than its factorization.

259164009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38902 (or 38896 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 259164009 is about 16098.5716447143. The cubic root of 259164009 is about 637.5656292295.

The spelling of 259164009 in words is "two hundred fifty-nine million, one hundred sixty-four thousand, nine".