6721973501017 has 2 divisors, whose sum is σ = 6721973501018. Its totient is φ = 6721973501016.

The previous prime is 6721973501003. The next prime is 6721973501119. The reversal of 6721973501017 is 7101053791276.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4884148620121 + 1837824880896 = 2210011^2 + 1355664^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-6721973501017 is a prime.

It is not a weakly prime, because it can be changed into another prime (6721973505017) 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, 3360986750508 + 3360986750509.

It is an arithmetic number, because the mean of its divisors is an integer number (3360986750509).

Almost surely, 2^{6721973501017} is an apocalyptic number.

It is an amenable number.

6721973501017 is a deficient number, since it is larger than the sum of its proper divisors (1).

6721973501017 is an equidigital number, since it uses as much as digits as its factorization.

6721973501017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 555660, while the sum is 49.

The spelling of 6721973501017 in words is "six trillion, seven hundred twenty-one billion, nine hundred seventy-three million, five hundred one thousand, seventeen".