10635124008673 has 2 divisors, whose sum is σ = 10635124008674. Its totient is φ = 10635124008672.

The previous prime is 10635124008661. The next prime is 10635124008727. The reversal of 10635124008673 is 37680042153601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5917070845009 + 4718053163664 = 2432503^2 + 2172108^2 .

It is a cyclic number.

It is not a de Polignac number, because 10635124008673 - 2¹³ = 10635124000481 is a prime.

It is a super-2 number, since 2×10635124008673² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10635124008643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5317562004336 + 5317562004337.

It is an arithmetic number, because the mean of its divisors is an integer number (5317562004337).

Almost surely, 2^{10635124008673} is an apocalyptic number.

It is an amenable number.

10635124008673 is a deficient number, since it is larger than the sum of its proper divisors (1).

10635124008673 is an equidigital number, since it uses as much as digits as its factorization.

10635124008673 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 10635124008673 in words is "ten trillion, six hundred thirty-five billion, one hundred twenty-four million, eight thousand, six hundred seventy-three".