27782395070273 has 2 divisors, whose sum is σ = 27782395070274. Its totient is φ = 27782395070272.

The previous prime is 27782395070239. The next prime is 27782395070303. The reversal of 27782395070273 is 37207059328772.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26392231451569 + 1390163618704 = 5137337^2 + 1179052^2 .

It is a cyclic number.

It is not a de Polignac number, because 27782395070273 - 2³⁴ = 27765215201089 is a prime.

It is a super-2 number, since 2×27782395070273² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (27782395070203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13891197535136 + 13891197535137.

It is an arithmetic number, because the mean of its divisors is an integer number (13891197535137).

Almost surely, 2^{27782395070273} is an apocalyptic number.

It is an amenable number.

27782395070273 is a deficient number, since it is larger than the sum of its proper divisors (1).

27782395070273 is an equidigital number, since it uses as much as digits as its factorization.

27782395070273 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 62233920, while the sum is 62.

The spelling of 27782395070273 in words is "twenty-seven trillion, seven hundred eighty-two billion, three hundred ninety-five million, seventy thousand, two hundred seventy-three".