13538071 has 2 divisors, whose sum is σ = 13538072. Its totient is φ = 13538070.

The previous prime is 13538039. The next prime is 13538093. The reversal of 13538071 is 17083531.

13538071 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is an emirp because it is prime and its reverse (17083531) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13538071 - 2⁵ = 13538039 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13538471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6769035 + 6769036.

It is an arithmetic number, because the mean of its divisors is an integer number (6769036).

Almost surely, 2^13538071 is an apocalyptic number.

13538071 is a deficient number, since it is larger than the sum of its proper divisors (1).

13538071 is an equidigital number, since it uses as much as digits as its factorization.

13538071 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 13538071 is about 3679.4117736399. The cubic root of 13538071 is about 238.3337771467. Note that the first 3 decimals are identical.

The spelling of 13538071 in words is "thirteen million, five hundred thirty-eight thousand, seventy-one".