66164513 has 2 divisors, whose sum is σ = 66164514. Its totient is φ = 66164512.

The previous prime is 66164503. The next prime is 66164519. The reversal of 66164513 is 31546166.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36820624 + 29343889 = 6068^2 + 5417^2 .

It is a cyclic number.

It is not a de Polignac number, because 66164513 - 2⁸ = 66164257 is a prime.

It is equal to p_3905267 and since 66164513 and 3905267 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 66164513.

It is not a weakly prime, because it can be changed into another prime (66164519) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33082256 + 33082257.

It is an arithmetic number, because the mean of its divisors is an integer number (33082257).

Almost surely, 2^66164513 is an apocalyptic number.

It is an amenable number.

66164513 is a deficient number, since it is larger than the sum of its proper divisors (1).

66164513 is an equidigital number, since it uses as much as digits as its factorization.

66164513 is an evil number, because the sum of its binary digits is even.

The product of its digits is 12960, while the sum is 32.

The square root of 66164513 is about 8134.1571782207. The cubic root of 66164513 is about 404.4594994804.

The spelling of 66164513 in words is "sixty-six million, one hundred sixty-four thousand, five hundred thirteen".