6005217000 has 128 divisors (see below), whose sum is σ = 18872380800. Its totient is φ = 1589760000.

The previous prime is 6005216989. The next prime is 6005217013. The reversal of 6005217000 is 7125006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409800 + ... + 424200.

It is an arithmetic number, because the mean of its divisors is an integer number (147440475).

Almost surely, 2^6005217000 is an apocalyptic number.

6005217000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6005217000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9436190400).

6005217000 is an abundant number, since it is smaller than the sum of its proper divisors (12867163800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6005217000 is a wasteful number, since it uses less digits than its factorization.

6005217000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14564 (or 14550 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 6005217000 is about 77493.3351972929. The cubic root of 6005217000 is about 1817.6471023801.

The spelling of 6005217000 in words is "six billion, five million, two hundred seventeen thousand".