513514432333013 has 2 divisors, whose sum is σ = 513514432333014. Its totient is φ = 513514432333012.

The previous prime is 513514432332973. The next prime is 513514432333043. The reversal of 513514432333013 is 310333234415315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 513394842935524 + 119589397489 = 22658218^2 + 345817^2 .

It is a cyclic number.

It is not a de Polignac number, because 513514432333013 - 2¹⁴ = 513514432316629 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513514432333043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256757216166506 + 256757216166507.

It is an arithmetic number, because the mean of its divisors is an integer number (256757216166507).

Almost surely, 2^{513514432333013} is an apocalyptic number.

It is an amenable number.

513514432333013 is a deficient number, since it is larger than the sum of its proper divisors (1).

513514432333013 is an equidigital number, since it uses as much as digits as its factorization.

513514432333013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 583200, while the sum is 41.

Adding to 513514432333013 its reverse (310333234415315), we get a palindrome (823847666748328).

The spelling of 513514432333013 in words is "five hundred thirteen trillion, five hundred fourteen billion, four hundred thirty-two million, three hundred thirty-three thousand, thirteen".