10500501017 has 2 divisors, whose sum is σ = 10500501018. Its totient is φ = 10500501016.

The previous prime is 10500500953. The next prime is 10500501019. The reversal of 10500501017 is 71010500501.

10500501017 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., 5308433881 + 5192067136 = 72859^2 + 72056^2 .

It is a cyclic number.

It is not a de Polignac number, because 10500501017 - 2⁶ = 10500500953 is a prime.

It is a super-2 number, since 2×10500501017² (a number of 21 digits) contains 22 as substring.

Together with 10500501019, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10500501017.

It is not a weakly prime, because it can be changed into another prime (10500501019) 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, 5250250508 + 5250250509.

It is an arithmetic number, because the mean of its divisors is an integer number (5250250509).

Almost surely, 2^10500501017 is an apocalyptic number.

It is an amenable number.

10500501017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10500501017 is an equidigital number, since it uses as much as digits as its factorization.

10500501017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 175, while the sum is 20.

The spelling of 10500501017 in words is "ten billion, five hundred million, five hundred one thousand, seventeen".