1006066361 has 2 divisors, whose sum is σ = 1006066362. Its totient is φ = 1006066360.

The previous prime is 1006066331. The next prime is 1006066367. The reversal of 1006066361 is 1636606001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 792760336 + 213306025 = 28156^2 + 14605^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006066361 - 2²² = 1001872057 is a prime.

It is not a weakly prime, because it can be changed into another prime (1006066367) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503033180 + 503033181.

It is an arithmetic number, because the mean of its divisors is an integer number (503033181).

Almost surely, 2^1006066361 is an apocalyptic number.

It is an amenable number.

1006066361 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006066361 is an equidigital number, since it uses as much as digits as its factorization.

1006066361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 1006066361 is about 31718.5491629110. The cubic root of 1006066361 is about 1002.0180450879.

The spelling of 1006066361 in words is "one billion, six million, sixty-six thousand, three hundred sixty-one".