1006006061 has 8 divisors (see below), whose sum is σ = 1034169240. Its totient is φ = 977894208.

The previous prime is 1006006037. The next prime is 1006006063. The reversal of 1006006061 is 1606006001.

It can be written as a sum of positive squares in 4 ways, for example, as 19669225 + 986336836 = 4435^2 + 31406^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1006006061 - 2¹⁰ = 1006005037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006006063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28775 + ... + 53291.

It is an arithmetic number, because the mean of its divisors is an integer number (129271155).

Almost surely, 2^1006006061 is an apocalyptic number.

It is an amenable number.

1006006061 is a deficient number, since it is larger than the sum of its proper divisors (28163179).

1006006061 is a wasteful number, since it uses less digits than its factorization.

1006006061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25663.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 1006006061 is about 31717.5986007768. The cubic root of 1006006061 is about 1001.9980255684.

The spelling of 1006006061 in words is "one billion, six million, six thousand, sixty-one".