513344500309 has 2 divisors, whose sum is σ = 513344500310. Its totient is φ = 513344500308.

The previous prime is 513344500243. The next prime is 513344500391. The reversal of 513344500309 is 903005443315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 510255919684 + 3088580625 = 714322^2 + 55575^2 .

It is a cyclic number.

It is not a de Polignac number, because 513344500309 - 2¹⁵ = 513344467541 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513344500399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256672250154 + 256672250155.

It is an arithmetic number, because the mean of its divisors is an integer number (256672250155).

Almost surely, 2^513344500309 is an apocalyptic number.

It is an amenable number.

513344500309 is a deficient number, since it is larger than the sum of its proper divisors (1).

513344500309 is an equidigital number, since it uses as much as digits as its factorization.

513344500309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 97200, while the sum is 37.

The spelling of 513344500309 in words is "five hundred thirteen billion, three hundred forty-four million, five hundred thousand, three hundred nine".