5171757831817 has 2 divisors, whose sum is σ = 5171757831818. Its totient is φ = 5171757831816.

The previous prime is 5171757831803. The next prime is 5171757831839. The reversal of 5171757831817 is 7181387571715.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4594660842256 + 577096989561 = 2143516^2 + 759669^2 .

It is a cyclic number.

It is not a de Polignac number, because 5171757831817 - 2¹⁵ = 5171757799049 is a prime.

It is not a weakly prime, because it can be changed into another prime (5171757831847) 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, 2585878915908 + 2585878915909.

It is an arithmetic number, because the mean of its divisors is an integer number (2585878915909).

Almost surely, 2^{5171757831817} is an apocalyptic number.

It is an amenable number.

5171757831817 is a deficient number, since it is larger than the sum of its proper divisors (1).

5171757831817 is an equidigital number, since it uses as much as digits as its factorization.

5171757831817 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11524800, while the sum is 61.

The spelling of 5171757831817 in words is "five trillion, one hundred seventy-one billion, seven hundred fifty-seven million, eight hundred thirty-one thousand, eight hundred seventeen".