10208072593 has 2 divisors, whose sum is σ = 10208072594. Its totient is φ = 10208072592.

The previous prime is 10208072533. The next prime is 10208072617. The reversal of 10208072593 is 39527080201.

10208072593 is digitally balanced in base 3, 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., 7868222209 + 2339850384 = 88703^2 + 48372^2 .

It is a cyclic number.

It is not a de Polignac number, because 10208072593 - 2²⁵ = 10174518161 is a prime.

It is not a weakly prime, because it can be changed into another prime (10208072503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5104036296 + 5104036297.

It is an arithmetic number, because the mean of its divisors is an integer number (5104036297).

Almost surely, 2^10208072593 is an apocalyptic number.

It is an amenable number.

10208072593 is a deficient number, since it is larger than the sum of its proper divisors (1).

10208072593 is an equidigital number, since it uses as much as digits as its factorization.

10208072593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 10208072593 in words is "ten billion, two hundred eight million, seventy-two thousand, five hundred ninety-three".