13506413 has 2 divisors, whose sum is σ = 13506414. Its totient is φ = 13506412.

The previous prime is 13506391. The next prime is 13506439. The reversal of 13506413 is 31460531.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10259209 + 3247204 = 3203^2 + 1802^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13506413 is a prime.

It is equal to p₈₈₀₀₂₅ and since 13506413 and 880025 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13506113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6753206 + 6753207.

It is an arithmetic number, because the mean of its divisors is an integer number (6753207).

Almost surely, 2^13506413 is an apocalyptic number.

It is an amenable number.

13506413 is a deficient number, since it is larger than the sum of its proper divisors (1).

13506413 is an equidigital number, since it uses as much as digits as its factorization.

13506413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 13506413 is about 3675.1072093206. The cubic root of 13506413 is about 238.1478555412.

Adding to 13506413 its reverse (31460531), we get a palindrome (44966944).

The spelling of 13506413 in words is "thirteen million, five hundred six thousand, four hundred thirteen".