66042049 has 2 divisors, whose sum is σ = 66042050. Its totient is φ = 66042048.

The previous prime is 66042047. The next prime is 66042073. The reversal of 66042049 is 94024066.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58982400 + 7059649 = 7680^2 + 2657^2 .

It is a cyclic number.

It is not a de Polignac number, because 66042049 - 2¹ = 66042047 is a prime.

It is a super-2 number, since 2×66042049² = 8723104472236802, which contains 22 as substring.

Together with 66042047, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 66042049.

It is not a weakly prime, because it can be changed into another prime (66042047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33021024 + 33021025.

It is an arithmetic number, because the mean of its divisors is an integer number (33021025).

Almost surely, 2^66042049 is an apocalyptic number.

It is an amenable number.

66042049 is a deficient number, since it is larger than the sum of its proper divisors (1).

66042049 is an equidigital number, since it uses as much as digits as its factorization.

66042049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 66042049 is about 8126.6259296217. The cubic root of 66042049 is about 404.2098071261.

The spelling of 66042049 in words is "sixty-six million, forty-two thousand, forty-nine".