6006006061 has 32 divisors (see below), whose sum is σ = 6939426816. Its totient is φ = 5147400000.

The previous prime is 6006006043. The next prime is 6006006079. The reversal of 6006006061 is 1606006006.

It is an interprime number because it is at equal distance from previous prime (6006006043) and next prime (6006006079).

It is a cyclic number.

It is not a de Polignac number, because 6006006061 - 2⁷ = 6006005933 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6006006091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4022031 + ... + 4023523.

It is an arithmetic number, because the mean of its divisors is an integer number (216857088).

Almost surely, 2^6006006061 is an apocalyptic number.

It is an amenable number.

6006006061 is a deficient number, since it is larger than the sum of its proper divisors (933420755).

6006006061 is a wasteful number, since it uses less digits than its factorization.

6006006061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833.

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 6006006061 is about 77498.4261840200. The cubic root of 6006006061 is about 1817.7267093633.

The spelling of 6006006061 in words is "six billion, six million, six thousand, sixty-one".