16772245306517 has 2 divisors, whose sum is σ = 16772245306518. Its totient is φ = 16772245306516.

The previous prime is 16772245306507. The next prime is 16772245306571. The reversal of 16772245306517 is 71560354227761.

Together with next prime (16772245306571) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9290877032836 + 7481368273681 = 3048094^2 + 2735209^2 .

It is a cyclic number.

It is not a de Polignac number, because 16772245306517 - 2²⁰ = 16772244257941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (16772245306507) 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, 8386122653258 + 8386122653259.

It is an arithmetic number, because the mean of its divisors is an integer number (8386122653259).

Almost surely, 2^{16772245306517} is an apocalyptic number.

It is an amenable number.

16772245306517 is a deficient number, since it is larger than the sum of its proper divisors (1).

16772245306517 is an equidigital number, since it uses as much as digits as its factorization.

16772245306517 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14817600, while the sum is 56.

The spelling of 16772245306517 in words is "sixteen trillion, seven hundred seventy-two billion, two hundred forty-five million, three hundred six thousand, five hundred seventeen".