2100005825917 has 2 divisors, whose sum is σ = 2100005825918. Its totient is φ = 2100005825916.

The previous prime is 2100005825899. The next prime is 2100005825977. The reversal of 2100005825917 is 7195285000012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1785053651481 + 314952174436 = 1336059^2 + 561206^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2100005825917 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2100005825917.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100005825977) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050002912958 + 1050002912959.

It is an arithmetic number, because the mean of its divisors is an integer number (1050002912959).

Almost surely, 2^{2100005825917} is an apocalyptic number.

It is an amenable number.

2100005825917 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100005825917 is an equidigital number, since it uses as much as digits as its factorization.

2100005825917 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 50400, while the sum is 40.

The spelling of 2100005825917 in words is "two trillion, one hundred billion, five million, eight hundred twenty-five thousand, nine hundred seventeen".