513939329 has 2 divisors, whose sum is σ = 513939330. Its totient is φ = 513939328.

The previous prime is 513939323. The next prime is 513939337. The reversal of 513939329 is 923939315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 374345104 + 139594225 = 19348^2 + 11815^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-513939329 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 513939329.

It is not a weakly prime, because it can be changed into another prime (513939323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256969664 + 256969665.

It is an arithmetic number, because the mean of its divisors is an integer number (256969665).

Almost surely, 2^513939329 is an apocalyptic number.

It is an amenable number.

513939329 is a deficient number, since it is larger than the sum of its proper divisors (1).

513939329 is an equidigital number, since it uses as much as digits as its factorization.

513939329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 196830, while the sum is 44.

The square root of 513939329 is about 22670.2300164776. The cubic root of 513939329 is about 801.0087945697.

The spelling of 513939329 in words is "five hundred thirteen million, nine hundred thirty-nine thousand, three hundred twenty-nine".