264404253131309 has 2 divisors, whose sum is σ = 264404253131310. Its totient is φ = 264404253131308.

The previous prime is 264404253131287. The next prime is 264404253131323. The reversal of 264404253131309 is 903131352404462.

264404253131309 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 261542478675625 + 2861774455684 = 16172275^2 + 1691678^2 .

It is a cyclic number.

It is not a de Polignac number, because 264404253131309 - 2³⁶ = 264335533654573 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (264404253131399) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132202126565654 + 132202126565655.

It is an arithmetic number, because the mean of its divisors is an integer number (132202126565655).

Almost surely, 2^{264404253131309} is an apocalyptic number.

It is an amenable number.

264404253131309 is a deficient number, since it is larger than the sum of its proper divisors (1).

264404253131309 is an equidigital number, since it uses as much as digits as its factorization.

264404253131309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1866240, while the sum is 47.

The spelling of 264404253131309 in words is "two hundred sixty-four trillion, four hundred four billion, two hundred fifty-three million, one hundred thirty-one thousand, three hundred nine".