10585312273 has 2 divisors, whose sum is σ = 10585312274. Its totient is φ = 10585312272.

The previous prime is 10585312271. The next prime is 10585312337. The reversal of 10585312273 is 37221358501.

10585312273 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5665271824 + 4920040449 = 75268^2 + 70143^2 .

It is a cyclic number.

It is not a de Polignac number, because 10585312273 - 2¹ = 10585312271 is a prime.

It is a super-2 number, since 2×10585312273² (a number of 21 digits) contains 22 as substring.

Together with 10585312271, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10585312271) 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, 5292656136 + 5292656137.

It is an arithmetic number, because the mean of its divisors is an integer number (5292656137).

Almost surely, 2^10585312273 is an apocalyptic number.

It is an amenable number.

10585312273 is a deficient number, since it is larger than the sum of its proper divisors (1).

10585312273 is an equidigital number, since it uses as much as digits as its factorization.

10585312273 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 50400, while the sum is 37.

The spelling of 10585312273 in words is "ten billion, five hundred eighty-five million, three hundred twelve thousand, two hundred seventy-three".