5017177458677 has 2 divisors, whose sum is σ = 5017177458678. Its totient is φ = 5017177458676.

The previous prime is 5017177458611. The next prime is 5017177458697. The reversal of 5017177458677 is 7768547717105.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4788354909361 + 228822549316 = 2188231^2 + 478354^2 .

It is a cyclic number.

It is not a de Polignac number, because 5017177458677 - 2¹⁸ = 5017177196533 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (5017177458697) 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, 2508588729338 + 2508588729339.

It is an arithmetic number, because the mean of its divisors is an integer number (2508588729339).

Almost surely, 2^{5017177458677} is an apocalyptic number.

It is an amenable number.

5017177458677 is a deficient number, since it is larger than the sum of its proper divisors (1).

5017177458677 is an equidigital number, since it uses as much as digits as its factorization.

5017177458677 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 80673600, while the sum is 65.

The spelling of 5017177458677 in words is "five trillion, seventeen billion, one hundred seventy-seven million, four hundred fifty-eight thousand, six hundred seventy-seven".