1006566061 has 2 divisors, whose sum is σ = 1006566062. Its totient is φ = 1006566060.

The previous prime is 1006566049. The next prime is 1006566131. The reversal of 1006566061 is 1606656001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 976250025 + 30316036 = 31245^2 + 5506^2 .

It is an emirp because it is prime and its reverse (1606656001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1006566061 - 2⁷ = 1006565933 is a prime.

It is a super-3 number, since 3×1006566061³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1006566761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503283030 + 503283031.

It is an arithmetic number, because the mean of its divisors is an integer number (503283031).

Almost surely, 2^1006566061 is an apocalyptic number.

It is an amenable number.

1006566061 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006566061 is an equidigital number, since it uses as much as digits as its factorization.

1006566061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 1006566061 is about 31726.4252792526. The cubic root of 1006566061 is about 1002.1839140474.

The spelling of 1006566061 in words is "one billion, six million, five hundred sixty-six thousand, sixty-one".