6516 has 18 divisors (see below), whose sum is σ = 16562. Its totient is φ = 2160.

The previous prime is 6491. The next prime is 6521. The reversal of 6516 is 6156.

6516 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in only one way, i.e., 3600 + 2916 = 60^2 + 54^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 7.

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

6516 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55 + ... + 126.

2⁶⁵¹⁶ is an apocalyptic number.

It is an amenable number.

6516 is an abundant number, since it is smaller than the sum of its proper divisors (10046).

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

6516 is a wasteful number, since it uses less digits than its factorization.

6516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 186 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 6516 is about 80.7217442824. The cubic root of 6516 is about 18.6778561031.

Subtracting from 6516 its product of digits (180), we obtain a palindrome (6336).

It can be divided in two parts, 65 and 16, that added together give a 4-th power (81 = 3⁴).

The spelling of 6516 in words is "six thousand, five hundred sixteen".