27012591313 has 2 divisors, whose sum is σ = 27012591314. Its totient is φ = 27012591312.

The previous prime is 27012591311. The next prime is 27012591317. The reversal of 27012591313 is 31319521072.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23016834369 + 3995756944 = 151713^2 + 63212^2 .

It is a cyclic number.

It is not a de Polignac number, because 27012591313 - 2¹ = 27012591311 is a prime.

Together with 27012591311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (27012591311) 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, 13506295656 + 13506295657.

It is an arithmetic number, because the mean of its divisors is an integer number (13506295657).

Almost surely, 2^27012591313 is an apocalyptic number.

It is an amenable number.

27012591313 is a deficient number, since it is larger than the sum of its proper divisors (1).

27012591313 is an equidigital number, since it uses as much as digits as its factorization.

27012591313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11340, while the sum is 34.

The spelling of 27012591313 in words is "twenty-seven billion, twelve million, five hundred ninety-one thousand, three hundred thirteen".