264563309 has 2 divisors, whose sum is σ = 264563310. Its totient is φ = 264563308.

The previous prime is 264563291. The next prime is 264563311. The reversal of 264563309 is 903365462.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 225150025 + 39413284 = 15005^2 + 6278^2 .

It is a cyclic number.

It is not a de Polignac number, because 264563309 - 2⁸ = 264563053 is a prime.

Together with 264563311, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (264563389) 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 as a sum of consecutive naturals, namely, 132281654 + 132281655.

It is an arithmetic number, because the mean of its divisors is an integer number (132281655).

Almost surely, 2^264563309 is an apocalyptic number.

It is an amenable number.

264563309 is a deficient number, since it is larger than the sum of its proper divisors (1).

264563309 is an equidigital number, since it uses as much as digits as its factorization.

264563309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 116640, while the sum is 38.

The square root of 264563309 is about 16265.4022083685. The cubic root of 264563309 is about 641.9628128096.

The spelling of 264563309 in words is "two hundred sixty-four million, five hundred sixty-three thousand, three hundred nine".