513829748329 has 2 divisors, whose sum is σ = 513829748330. Its totient is φ = 513829748328.

The previous prime is 513829748293. The next prime is 513829748347. The reversal of 513829748329 is 923847928315.

Together with previous prime (513829748293) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 292978625625 + 220851122704 = 541275^2 + 469948^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-513829748329 is a prime.

It is not a weakly prime, because it can be changed into another prime (513829746329) 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, 256914874164 + 256914874165.

It is an arithmetic number, because the mean of its divisors is an integer number (256914874165).

Almost surely, 2^513829748329 is an apocalyptic number.

It is an amenable number.

513829748329 is a deficient number, since it is larger than the sum of its proper divisors (1).

513829748329 is an equidigital number, since it uses as much as digits as its factorization.

513829748329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 26127360, while the sum is 61.

The spelling of 513829748329 in words is "five hundred thirteen billion, eight hundred twenty-nine million, seven hundred forty-eight thousand, three hundred twenty-nine".