13046513 has 2 divisors, whose sum is σ = 13046514. Its totient is φ = 13046512.

The previous prime is 13046489. The next prime is 13046581. The reversal of 13046513 is 31564031.

It is a happy number.

13046513 is nontrivially palindromic in base 11.

13046513 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., 8479744 + 4566769 = 2912^2 + 2137^2 .

It is a cyclic number.

It is not a de Polignac number, because 13046513 - 2¹⁰ = 13045489 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (13046113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6523256 + 6523257.

It is an arithmetic number, because the mean of its divisors is an integer number (6523257).

Almost surely, 2^13046513 is an apocalyptic number.

It is an amenable number.

13046513 is a deficient number, since it is larger than the sum of its proper divisors (1).

13046513 is an equidigital number, since it uses as much as digits as its factorization.

13046513 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 13046513 is about 3611.9957087461. The cubic root of 13046513 is about 235.4135648045.

The spelling of 13046513 in words is "thirteen million, forty-six thousand, five hundred thirteen".