264116609 has 2 divisors, whose sum is σ = 264116610. Its totient is φ = 264116608.

The previous prime is 264116591. The next prime is 264116639. The reversal of 264116609 is 906611462.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 184960000 + 79156609 = 13600^2 + 8897^2 .

It is a cyclic number.

It is not a de Polignac number, because 264116609 - 2²⁰ = 263068033 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is equal to p_14408189 and since 264116609 and 14408189 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (264116639) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132058304 + 132058305.

It is an arithmetic number, because the mean of its divisors is an integer number (132058305).

Almost surely, 2^264116609 is an apocalyptic number.

It is an amenable number.

264116609 is a deficient number, since it is larger than the sum of its proper divisors (1).

264116609 is an equidigital number, since it uses as much as digits as its factorization.

264116609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 264116609 is about 16251.6648070282. The cubic root of 264116609 is about 641.6013034524.

The spelling of 264116609 in words is "two hundred sixty-four million, one hundred sixteen thousand, six hundred nine".