506045755177 has 2 divisors, whose sum is σ = 506045755178. Its totient is φ = 506045755176.

The previous prime is 506045755099. The next prime is 506045755181. The reversal of 506045755177 is 771557540605.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 344074923241 + 161970831936 = 586579^2 + 402456^2 .

It is a cyclic number.

It is not a de Polignac number, because 506045755177 - 2¹⁵ = 506045722409 is a prime.

It is not a weakly prime, because it can be changed into another prime (506045735177) 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, 253022877588 + 253022877589.

It is an arithmetic number, because the mean of its divisors is an integer number (253022877589).

Almost surely, 2^506045755177 is an apocalyptic number.

It is an amenable number.

506045755177 is a deficient number, since it is larger than the sum of its proper divisors (1).

506045755177 is an equidigital number, since it uses as much as digits as its factorization.

506045755177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5145000, while the sum is 52.

The spelling of 506045755177 in words is "five hundred six billion, forty-five million, seven hundred fifty-five thousand, one hundred seventy-seven".