10035845173 has 2 divisors, whose sum is σ = 10035845174. Its totient is φ = 10035845172.

The previous prime is 10035845153. The next prime is 10035845177. The reversal of 10035845173 is 37154853001.

10035845173 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9714467844 + 321377329 = 98562^2 + 17927^2 .

It is a cyclic number.

It is not a de Polignac number, because 10035845173 - 2¹³ = 10035836981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10035845177) 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, 5017922586 + 5017922587.

It is an arithmetic number, because the mean of its divisors is an integer number (5017922587).

Almost surely, 2^10035845173 is an apocalyptic number.

It is an amenable number.

10035845173 is a deficient number, since it is larger than the sum of its proper divisors (1).

10035845173 is an equidigital number, since it uses as much as digits as its factorization.

10035845173 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 37.

The spelling of 10035845173 in words is "ten billion, thirty-five million, eight hundred forty-five thousand, one hundred seventy-three".