10005753817 has 2 divisors, whose sum is σ = 10005753818. Its totient is φ = 10005753816.

The previous prime is 10005753787. The next prime is 10005753827. The reversal of 10005753817 is 71835750001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7043237776 + 2962516041 = 83924^2 + 54429^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10005753817 is a prime.

It is not a weakly prime, because it can be changed into another prime (10005753827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5002876908 + 5002876909.

It is an arithmetic number, because the mean of its divisors is an integer number (5002876909).

Almost surely, 2^10005753817 is an apocalyptic number.

It is an amenable number.

10005753817 is a deficient number, since it is larger than the sum of its proper divisors (1).

10005753817 is an equidigital number, since it uses as much as digits as its factorization.

10005753817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29400, while the sum is 37.

The spelling of 10005753817 in words is "ten billion, five million, seven hundred fifty-three thousand, eight hundred seventeen".