6511983 has 8 divisors (see below), whose sum is σ = 8697600. Its totient is φ = 4333848.

The previous prime is 6511961. The next prime is 6511997. The reversal of 6511983 is 3891156.

6511983 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 6511983 - 2⁸ = 6511727 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

6511983 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6501983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 648 + ... + 3666.

It is an arithmetic number, because the mean of its divisors is an integer number (1087200).

Almost surely, 2^6511983 is an apocalyptic number.

6511983 is a deficient number, since it is larger than the sum of its proper divisors (2185617).

6511983 is a wasteful number, since it uses less digits than its factorization.

6511983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3741.

The product of its digits is 6480, while the sum is 33.

The square root of 6511983 is about 2551.8587343346. The cubic root of 6511983 is about 186.7401712362.

The spelling of 6511983 in words is "six million, five hundred eleven thousand, nine hundred eighty-three".