10038185953 has 2 divisors, whose sum is σ = 10038185954. Its totient is φ = 10038185952.

The previous prime is 10038185893. The next prime is 10038185977. The reversal of 10038185953 is 35958183001.

10038185953 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., 9120823009 + 917362944 = 95503^2 + 30288^2 .

It is a cyclic number.

It is not a de Polignac number, because 10038185953 - 2²⁵ = 10004631521 is a prime.

It is not a weakly prime, because it can be changed into another prime (10038180953) 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, 5019092976 + 5019092977.

It is an arithmetic number, because the mean of its divisors is an integer number (5019092977).

Almost surely, 2^10038185953 is an apocalyptic number.

It is an amenable number.

10038185953 is a deficient number, since it is larger than the sum of its proper divisors (1).

10038185953 is an equidigital number, since it uses as much as digits as its factorization.

10038185953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 129600, while the sum is 43.

The spelling of 10038185953 in words is "ten billion, thirty-eight million, one hundred eighty-five thousand, nine hundred fifty-three".