13853509 has 2 divisors, whose sum is σ = 13853510. Its totient is φ = 13853508.

The previous prime is 13853507. The next prime is 13853513. The reversal of 13853509 is 90535831.

13853509 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13853284 + 225 = 3722^2 + 15^2 .

It is a cyclic number.

It is not a de Polignac number, because 13853509 - 2¹ = 13853507 is a prime.

It is a super-2 number, since 2×13853509² = 383839423226162, which contains 22 as substring.

Together with 13853507, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13853507) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6926754 + 6926755.

It is an arithmetic number, because the mean of its divisors is an integer number (6926755).

Almost surely, 2^13853509 is an apocalyptic number.

It is an amenable number.

13853509 is a deficient number, since it is larger than the sum of its proper divisors (1).

13853509 is an equidigital number, since it uses as much as digits as its factorization.

13853509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16200, while the sum is 34.

The square root of 13853509 is about 3722.0302255624. The cubic root of 13853509 is about 240.1706483103.

The spelling of 13853509 in words is "thirteen million, eight hundred fifty-three thousand, five hundred nine".