513354326399 has 2 divisors, whose sum is σ = 513354326400. Its totient is φ = 513354326398.

The previous prime is 513354326377. The next prime is 513354326437. The reversal of 513354326399 is 993623453315.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 513354326399 - 2¹⁶ = 513354260863 is a prime.

It is a Sophie Germain prime.

It is a self number, because there is not a number n which added to its sum of digits gives 513354326399.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513354326339) 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, 256677163199 + 256677163200.

It is an arithmetic number, because the mean of its divisors is an integer number (256677163200).

Almost surely, 2^513354326399 is an apocalyptic number.

513354326399 is a deficient number, since it is larger than the sum of its proper divisors (1).

513354326399 is an equidigital number, since it uses as much as digits as its factorization.

513354326399 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7873200, while the sum is 53.

It can be divided in two parts, 51335 and 4326399, that added together give a palindrome (4377734).

The spelling of 513354326399 in words is "five hundred thirteen billion, three hundred fifty-four million, three hundred twenty-six thousand, three hundred ninety-nine".