5017177458721 has 2 divisors, whose sum is σ = 5017177458722. Its totient is φ = 5017177458720.

The previous prime is 5017177458697. The next prime is 5017177458793. The reversal of 5017177458721 is 1278547717105.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4963092840000 + 54084618721 = 2227800^2 + 232561^2 .

It is a cyclic number.

It is not a de Polignac number, because 5017177458721 - 2²³ = 5017169070113 is a prime.

It is a super-2 number, since 2×5017177458721² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (5017177458121) 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, 2508588729360 + 2508588729361.

It is an arithmetic number, because the mean of its divisors is an integer number (2508588729361).

Almost surely, 2^{5017177458721} is an apocalyptic number.

It is an amenable number.

5017177458721 is a deficient number, since it is larger than the sum of its proper divisors (1).

5017177458721 is an equidigital number, since it uses as much as digits as its factorization.

5017177458721 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3841600, while the sum is 55.

The spelling of 5017177458721 in words is "five trillion, seventeen billion, one hundred seventy-seven million, four hundred fifty-eight thousand, seven hundred twenty-one".