513951690011713 has 2 divisors, whose sum is σ = 513951690011714. Its totient is φ = 513951690011712.

The previous prime is 513951690011689. The next prime is 513951690011777. The reversal of 513951690011713 is 317110096159315.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 364096314990864 + 149855375020849 = 19081308^2 + 12241543^2 .

It is a cyclic number.

It is not a de Polignac number, because 513951690011713 - 2¹⁷ = 513951689880641 is a prime.

It is not a weakly prime, because it can be changed into another prime (513951690011113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256975845005856 + 256975845005857.

It is an arithmetic number, because the mean of its divisors is an integer number (256975845005857).

Almost surely, 2^{513951690011713} is an apocalyptic number.

It is an amenable number.

513951690011713 is a deficient number, since it is larger than the sum of its proper divisors (1).

513951690011713 is an equidigital number, since it uses as much as digits as its factorization.

513951690011713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 765450, while the sum is 52.

The spelling of 513951690011713 in words is "five hundred thirteen trillion, nine hundred fifty-one billion, six hundred ninety million, eleven thousand, seven hundred thirteen".