10185640802317 has 2 divisors, whose sum is σ = 10185640802318. Its totient is φ = 10185640802316.

The previous prime is 10185640802291. The next prime is 10185640802333. The reversal of 10185640802317 is 71320804658101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5846172708996 + 4339468093321 = 2417886^2 + 2083139^2 .

It is a cyclic number.

It is not a de Polignac number, because 10185640802317 - 2⁷ = 10185640802189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10185640802717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5092820401158 + 5092820401159.

It is an arithmetic number, because the mean of its divisors is an integer number (5092820401159).

Almost surely, 2^{10185640802317} is an apocalyptic number.

It is an amenable number.

10185640802317 is a deficient number, since it is larger than the sum of its proper divisors (1).

10185640802317 is an equidigital number, since it uses as much as digits as its factorization.

10185640802317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 322560, while the sum is 46.

The spelling of 10185640802317 in words is "ten trillion, one hundred eighty-five billion, six hundred forty million, eight hundred two thousand, three hundred seventeen".