13006541 has 2 divisors, whose sum is σ = 13006542. Its totient is φ = 13006540.

The previous prime is 13006537. The next prime is 13006559. The reversal of 13006541 is 14560031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10588516 + 2418025 = 3254^2 + 1555^2 .

It is an emirp because it is prime and its reverse (14560031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13006541 - 2² = 13006537 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13006501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6503270 + 6503271.

It is an arithmetic number, because the mean of its divisors is an integer number (6503271).

Almost surely, 2^13006541 is an apocalyptic number.

It is an amenable number.

13006541 is a deficient number, since it is larger than the sum of its proper divisors (1).

13006541 is an equidigital number, since it uses as much as digits as its factorization.

13006541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 13006541 is about 3606.4582348892. The cubic root of 13006541 is about 235.1728982628.

Adding to 13006541 its reverse (14560031), we get a palindrome (27566572).

The spelling of 13006541 in words is "thirteen million, six thousand, five hundred forty-one".