513517198321 has 2 divisors, whose sum is σ = 513517198322. Its totient is φ = 513517198320.

The previous prime is 513517198267. The next prime is 513517198331. The reversal of 513517198321 is 123891715315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 420759795600 + 92757402721 = 648660^2 + 304561^2 .

It is a cyclic number.

It is not a de Polignac number, because 513517198321 - 2²³ = 513508809713 is a prime.

It is not a weakly prime, because it can be changed into another prime (513517198331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256758599160 + 256758599161.

It is an arithmetic number, because the mean of its divisors is an integer number (256758599161).

Almost surely, 2^513517198321 is an apocalyptic number.

It is an amenable number.

513517198321 is a deficient number, since it is larger than the sum of its proper divisors (1).

513517198321 is an equidigital number, since it uses as much as digits as its factorization.

513517198321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 226800, while the sum is 46.

The spelling of 513517198321 in words is "five hundred thirteen billion, five hundred seventeen million, one hundred ninety-eight thousand, three hundred twenty-one".