513345320321 has 2 divisors, whose sum is σ = 513345320322. Its totient is φ = 513345320320.

The previous prime is 513345320311. The next prime is 513345320381. The reversal of 513345320321 is 123023543315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 432069582400 + 81275737921 = 657320^2 + 285089^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-513345320321 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (513345320311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256672660160 + 256672660161.

It is an arithmetic number, because the mean of its divisors is an integer number (256672660161).

Almost surely, 2^513345320321 is an apocalyptic number.

It is an amenable number.

513345320321 is a deficient number, since it is larger than the sum of its proper divisors (1).

513345320321 is an equidigital number, since it uses as much as digits as its factorization.

513345320321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32400, while the sum is 32.

Adding to 513345320321 its reverse (123023543315), we get a palindrome (636368863636).

The spelling of 513345320321 in words is "five hundred thirteen billion, three hundred forty-five million, three hundred twenty thousand, three hundred twenty-one".