27007819313 has 2 divisors, whose sum is σ = 27007819314. Its totient is φ = 27007819312.

The previous prime is 27007819247. The next prime is 27007819343. The reversal of 27007819313 is 31391870072.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26164033009 + 843786304 = 161753^2 + 29048^2 .

It is a cyclic number.

It is not a de Polignac number, because 27007819313 - 2¹⁸ = 27007557169 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 (27007819343) 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, 13503909656 + 13503909657.

It is an arithmetic number, because the mean of its divisors is an integer number (13503909657).

Almost surely, 2^27007819313 is an apocalyptic number.

It is an amenable number.

27007819313 is a deficient number, since it is larger than the sum of its proper divisors (1).

27007819313 is an equidigital number, since it uses as much as digits as its factorization.

27007819313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63504, while the sum is 41.

The spelling of 27007819313 in words is "twenty-seven billion, seven million, eight hundred nineteen thousand, three hundred thirteen".