10093338762593 has 2 divisors, whose sum is σ = 10093338762594. Its totient is φ = 10093338762592.

The previous prime is 10093338762581. The next prime is 10093338762599. The reversal of 10093338762593 is 39526783339001.

10093338762593 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., 7849730217169 + 2243608545424 = 2801737^2 + 1497868^2 .

It is a cyclic number.

It is not a de Polignac number, because 10093338762593 - 2¹⁸ = 10093338500449 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10093338762599) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5046669381296 + 5046669381297.

It is an arithmetic number, because the mean of its divisors is an integer number (5046669381297).

Almost surely, 2^{10093338762593} is an apocalyptic number.

It is an amenable number.

10093338762593 is a deficient number, since it is larger than the sum of its proper divisors (1).

10093338762593 is an equidigital number, since it uses as much as digits as its factorization.

10093338762593 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 22044960, while the sum is 59.

The spelling of 10093338762593 in words is "ten trillion, ninety-three billion, three hundred thirty-eight million, seven hundred sixty-two thousand, five hundred ninety-three".