27000013 has 2 divisors, whose sum is σ = 27000014. Its totient is φ = 27000012.

The previous prime is 27000011. The next prime is 27000023. The reversal of 27000013 is 31000072.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17867529 + 9132484 = 4227^2 + 3022^2 .

It is a cyclic number.

It is not a de Polignac number, because 27000013 - 2¹ = 27000011 is a prime.

Together with 27000011, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 26999957 and 27000002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27000011) 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, 13500006 + 13500007.

It is an arithmetic number, because the mean of its divisors is an integer number (13500007).

Almost surely, 2^27000013 is an apocalyptic number.

It is an amenable number.

27000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

27000013 is an equidigital number, since it uses as much as digits as its factorization.

27000013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 27000013 is about 5196.1536736321. The cubic root of 27000013 is about 300.0000481481. Note that the first 4 decimals are identical.

Subtracting from 27000013 its sum of digits (13), we obtain a cube (27000000 = 300³).

Adding to 27000013 its reverse (31000072), we get a palindrome (58000085).

The spelling of 27000013 in words is "twenty-seven million, thirteen", and thus it is an aban number and an uban number.