10083820240817 has 2 divisors, whose sum is σ = 10083820240818. Its totient is φ = 10083820240816.

The previous prime is 10083820240811. The next prime is 10083820240829. The reversal of 10083820240817 is 71804202838001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6141653671696 + 3942166569121 = 2478236^2 + 1985489^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10083820240817 is a prime.

It is a super-2 number, since 2×10083820240817² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10083820240811) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5041910120408 + 5041910120409.

It is an arithmetic number, because the mean of its divisors is an integer number (5041910120409).

Almost surely, 2^{10083820240817} is an apocalyptic number.

It is an amenable number.

10083820240817 is a deficient number, since it is larger than the sum of its proper divisors (1).

10083820240817 is an equidigital number, since it uses as much as digits as its factorization.

10083820240817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 172032, while the sum is 44.

The spelling of 10083820240817 in words is "ten trillion, eighty-three billion, eight hundred twenty million, two hundred forty thousand, eight hundred seventeen".