66000013 has 2 divisors, whose sum is σ = 66000014. Its totient is φ = 66000012.

The previous prime is 66000007. The next prime is 66000029. The reversal of 66000013 is 31000066.

It is a happy number.

It is an a-pointer prime, because the next prime (66000029) can be obtained adding 66000013 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52027369 + 13972644 = 7213^2 + 3738^2 .

It is a cyclic number.

It is not a de Polignac number, because 66000013 - 2⁹ = 65999501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (66000043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33000006 + 33000007.

It is an arithmetic number, because the mean of its divisors is an integer number (33000007).

Almost surely, 2^66000013 is an apocalyptic number.

It is an amenable number.

66000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

66000013 is an equidigital number, since it uses as much as digits as its factorization.

66000013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 66000013 is about 8124.0392047306. The cubic root of 66000013 is about 404.1240285956.

Adding to 66000013 its reverse (31000066), we get a palindrome (97000079).

The spelling of 66000013 in words is "sixty-six million, thirteen", and thus it is an aban number and an uban number.