10605252793 has 2 divisors, whose sum is σ = 10605252794. Its totient is φ = 10605252792.

The previous prime is 10605252769. The next prime is 10605252797. The reversal of 10605252793 is 39725250601.

10605252793 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., 8676549904 + 1928702889 = 93148^2 + 43917^2 .

It is an emirp because it is prime and its reverse (39725250601) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10605252793 is a prime.

It is a super-2 number, since 2×10605252793² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10605252797) 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, 5302626396 + 5302626397.

It is an arithmetic number, because the mean of its divisors is an integer number (5302626397).

Almost surely, 2^10605252793 is an apocalyptic number.

It is an amenable number.

10605252793 is a deficient number, since it is larger than the sum of its proper divisors (1).

10605252793 is an equidigital number, since it uses as much as digits as its factorization.

10605252793 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 113400, while the sum is 40.

The spelling of 10605252793 in words is "ten billion, six hundred five million, two hundred fifty-two thousand, seven hundred ninety-three".