506361760570117 has 2 divisors, whose sum is σ = 506361760570118. Its totient is φ = 506361760570116.

The previous prime is 506361760570111. The next prime is 506361760570139. The reversal of 506361760570117 is 711075067163605.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 299962967274721 + 206398793295396 = 17319439^2 + 14366586^2 .

It is a cyclic number.

It is not a de Polignac number, because 506361760570117 - 2⁷ = 506361760569989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (506361760570111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253180880285058 + 253180880285059.

It is an arithmetic number, because the mean of its divisors is an integer number (253180880285059).

Almost surely, 2^{506361760570117} is an apocalyptic number.

It is an amenable number.

506361760570117 is a deficient number, since it is larger than the sum of its proper divisors (1).

506361760570117 is an equidigital number, since it uses as much as digits as its factorization.

506361760570117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5556600, while the sum is 55.

The spelling of 506361760570117 in words is "five hundred six trillion, three hundred sixty-one billion, seven hundred sixty million, five hundred seventy thousand, one hundred seventeen".