10525817108993 has 2 divisors, whose sum is σ = 10525817108994. Its totient is φ = 10525817108992.

The previous prime is 10525817108969. The next prime is 10525817109011. The reversal of 10525817108993 is 39980171852501.

10525817108993 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., 9829874079169 + 695943029824 = 3135263^2 + 834232^2 .

It is a cyclic number.

It is not a de Polignac number, because 10525817108993 - 2¹⁰ = 10525817107969 is a prime.

It is a super-2 number, since 2×10525817108993² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10525817108903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5262908554496 + 5262908554497.

It is an arithmetic number, because the mean of its divisors is an integer number (5262908554497).

Almost surely, 2^{10525817108993} is an apocalyptic number.

It is an amenable number.

10525817108993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10525817108993 is an equidigital number, since it uses as much as digits as its factorization.

10525817108993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5443200, while the sum is 59.

The spelling of 10525817108993 in words is "ten trillion, five hundred twenty-five billion, eight hundred seventeen million, one hundred eight thousand, nine hundred ninety-three".