517313955841 has 2 divisors, whose sum is σ = 517313955842. Its totient is φ = 517313955840.

The previous prime is 517313955827. The next prime is 517313955869. The reversal of 517313955841 is 148559313715.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 516982570225 + 331385616 = 719015^2 + 18204^2 .

It is a cyclic number.

It is not a de Polignac number, because 517313955841 - 2¹⁹ = 517313431553 is a prime.

It is a super-2 number, since 2×517313955841² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (517313955541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 258656977920 + 258656977921.

It is an arithmetic number, because the mean of its divisors is an integer number (258656977921).

Almost surely, 2^517313955841 is an apocalyptic number.

It is an amenable number.

517313955841 is a deficient number, since it is larger than the sum of its proper divisors (1).

517313955841 is an equidigital number, since it uses as much as digits as its factorization.

517313955841 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2268000, while the sum is 52.

The spelling of 517313955841 in words is "five hundred seventeen billion, three hundred thirteen million, nine hundred fifty-five thousand, eight hundred forty-one".