13538353 has 2 divisors, whose sum is σ = 13538354. Its totient is φ = 13538352.

The previous prime is 13538297. The next prime is 13538359. The reversal of 13538353 is 35383531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8596624 + 4941729 = 2932^2 + 2223^2 .

It is an emirp because it is prime and its reverse (35383531) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13538353 - 2⁹ = 13537841 is a prime.

It is not a weakly prime, because it can be changed into another prime (13538359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6769176 + 6769177.

It is an arithmetic number, because the mean of its divisors is an integer number (6769177).

Almost surely, 2^13538353 is an apocalyptic number.

It is an amenable number.

13538353 is a deficient number, since it is larger than the sum of its proper divisors (1).

13538353 is an equidigital number, since it uses as much as digits as its factorization.

13538353 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 16200, while the sum is 31.

The square root of 13538353 is about 3679.4500947832. The cubic root of 13538353 is about 238.3354319777.

The spelling of 13538353 in words is "thirteen million, five hundred thirty-eight thousand, three hundred fifty-three".