66318013 has 2 divisors, whose sum is σ = 66318014. Its totient is φ = 66318012.

The previous prime is 66317939. The next prime is 66318053. The reversal of 66318013 is 31081366.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41447844 + 24870169 = 6438^2 + 4987^2 .

It is a cyclic number.

It is not a de Polignac number, because 66318013 - 2¹³ = 66309821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (66318053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33159006 + 33159007.

It is an arithmetic number, because the mean of its divisors is an integer number (33159007).

Almost surely, 2^66318013 is an apocalyptic number.

It is an amenable number.

66318013 is a deficient number, since it is larger than the sum of its proper divisors (1).

66318013 is an equidigital number, since it uses as much as digits as its factorization.

66318013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 66318013 is about 8143.5872316811. The cubic root of 66318013 is about 404.7720365219.

Adding to 66318013 its reverse (31081366), we get a palindrome (97399379).

The spelling of 66318013 in words is "sixty-six million, three hundred eighteen thousand, thirteen".