66565001 has 2 divisors, whose sum is σ = 66565002. Its totient is φ = 66565000.

The previous prime is 66564997. The next prime is 66565003. The reversal of 66565001 is 10056566.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53640976 + 12924025 = 7324^2 + 3595^2 .

It is a cyclic number.

It is not a de Polignac number, because 66565001 - 2² = 66564997 is a prime.

Together with 66565003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (66565003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33282500 + 33282501.

It is an arithmetic number, because the mean of its divisors is an integer number (33282501).

Almost surely, 2^66565001 is an apocalyptic number.

It is an amenable number.

66565001 is a deficient number, since it is larger than the sum of its proper divisors (1).

66565001 is an equidigital number, since it uses as much as digits as its factorization.

66565001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 66565001 is about 8158.7377087390. The cubic root of 66565001 is about 405.2739111340.

The spelling of 66565001 in words is "sixty-six million, five hundred sixty-five thousand, one".