1066185761 has 2 divisors, whose sum is σ = 1066185762. Its totient is φ = 1066185760.

The previous prime is 1066185737. The next prime is 1066185763. The reversal of 1066185761 is 1675816601.

1066185761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1065630736 + 555025 = 32644^2 + 745^2 .

It is an emirp because it is prime and its reverse (1675816601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1066185761 - 2¹⁰ = 1066184737 is a prime.

It is a super-2 number, since 2×1066185761² = 2273504153918298242, which contains 22 as substring.

Together with 1066185763, 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 (1066185763) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 533092880 + 533092881.

It is an arithmetic number, because the mean of its divisors is an integer number (533092881).

Almost surely, 2^1066185761 is an apocalyptic number.

It is an amenable number.

1066185761 is a deficient number, since it is larger than the sum of its proper divisors (1).

1066185761 is an equidigital number, since it uses as much as digits as its factorization.

1066185761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60480, while the sum is 41.

The square root of 1066185761 is about 32652.5000727356. The cubic root of 1066185761 is about 1021.5923357143.

The spelling of 1066185761 in words is "one billion, sixty-six million, one hundred eighty-five thousand, seven hundred sixty-one".