6005066017 has 16 divisors (see below), whose sum is σ = 6307571200. Its totient is φ = 5709813120.

The previous prime is 6005065991. The next prime is 6005066051. The reversal of 6005066017 is 7106605006.

It is not a de Polignac number, because 6005066017 - 2¹⁵ = 6005033249 is a prime.

It is a super-4 number, since 4×6005066017⁴ (a number of 40 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6005066017.

It is not an unprimeable number, because it can be changed into a prime (6005066087) 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, 845959 + ... + 853027.

It is an arithmetic number, because the mean of its divisors is an integer number (394223200).

Almost surely, 2^6005066017 is an apocalyptic number.

6005066017 is a gapful number since it is divisible by the number (67) formed by its first and last digit.

It is an amenable number.

6005066017 is a deficient number, since it is larger than the sum of its proper divisors (302505183).

6005066017 is a wasteful number, since it uses less digits than its factorization.

6005066017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7576.

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 6005066017 is about 77492.3610235228. The cubic root of 6005066017 is about 1817.6318691747.

The spelling of 6005066017 in words is "six billion, five million, sixty-six thousand, seventeen".