10072006817 has 2 divisors, whose sum is σ = 10072006818. Its totient is φ = 10072006816.

The previous prime is 10072006811. The next prime is 10072006829. The reversal of 10072006817 is 71860027001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7896810496 + 2175196321 = 88864^2 + 46639^2 .

It is a cyclic number.

It is not a de Polignac number, because 10072006817 - 2²⁴ = 10055229601 is a prime.

It is not a weakly prime, because it can be changed into another prime (10072006811) 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, 5036003408 + 5036003409.

It is an arithmetic number, because the mean of its divisors is an integer number (5036003409).

Almost surely, 2^10072006817 is an apocalyptic number.

It is an amenable number.

10072006817 is a deficient number, since it is larger than the sum of its proper divisors (1).

10072006817 is an equidigital number, since it uses as much as digits as its factorization.

10072006817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4704, while the sum is 32.

The spelling of 10072006817 in words is "ten billion, seventy-two million, six thousand, eight hundred seventeen".