6005016010001 has 16 divisors (see below), whose sum is σ = 6213863377920. Its totient is φ = 5797119075840.

The previous prime is 6005016009947. The next prime is 6005016010003. The reversal of 6005016010001 is 1000106105006.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 6005016010001 - 2¹⁴ = 6005015993617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6005016010003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91651085 + ... + 91716581.

It is an arithmetic number, because the mean of its divisors is an integer number (388366461120).

Almost surely, 2^{6005016010001} is an apocalyptic number.

It is an amenable number.

6005016010001 is a deficient number, since it is larger than the sum of its proper divisors (208847367919).

6005016010001 is a wasteful number, since it uses less digits than its factorization.

6005016010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72704.

The product of its (nonzero) digits is 180, while the sum is 20.

The spelling of 6005016010001 in words is "six trillion, five billion, sixteen million, ten thousand, one".