6006061005017 has 2 divisors, whose sum is σ = 6006061005018. Its totient is φ = 6006061005016.

The previous prime is 6006061004953. The next prime is 6006061005019. The reversal of 6006061005017 is 7105001606006.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5986027716496 + 20033288521 = 2446636^2 + 141539^2 .

It is a cyclic number.

It is not a de Polignac number, because 6006061005017 - 2⁶ = 6006061004953 is a prime.

Together with 6006061005019, 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 (6006061005019) 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, 3003030502508 + 3003030502509.

It is an arithmetic number, because the mean of its divisors is an integer number (3003030502509).

Almost surely, 2^{6006061005017} is an apocalyptic number.

It is an amenable number.

6006061005017 is a deficient number, since it is larger than the sum of its proper divisors (1).

6006061005017 is an equidigital number, since it uses as much as digits as its factorization.

6006061005017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 32.

The spelling of 6006061005017 in words is "six trillion, six billion, sixty-one million, five thousand, seventeen".