27513713350307 has 2 divisors, whose sum is σ = 27513713350308. Its totient is φ = 27513713350306.

The previous prime is 27513713350273. The next prime is 27513713350309. The reversal of 27513713350307 is 70305331731572.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 27513713350307 - 2¹⁸ = 27513713088163 is a prime.

Together with 27513713350309, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (27513713350309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13756856675153 + 13756856675154.

It is an arithmetic number, because the mean of its divisors is an integer number (13756856675154).

Almost surely, 2^{27513713350307} is an apocalyptic number.

27513713350307 is a deficient number, since it is larger than the sum of its proper divisors (1).

27513713350307 is an equidigital number, since it uses as much as digits as its factorization.

27513713350307 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1389150, while the sum is 47.

The spelling of 27513713350307 in words is "twenty-seven trillion, five hundred thirteen billion, seven hundred thirteen million, three hundred fifty thousand, three hundred seven".