6512 has 20 divisors (see below), whose sum is σ = 14136. Its totient is φ = 2880.

The previous prime is 6491. The next prime is 6521. The reversal of 6512 is 2156.

It is a super-2 number, since 2×6512² = 84812288, which contains 22 as substring.

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 158 + ... + 194.

2⁶⁵¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7068).

6512 is an abundant number, since it is smaller than the sum of its proper divisors (7624).

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

6512 is a wasteful number, since it uses less digits than its factorization.

6512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 50 counting only the distinct ones).

The product of its digits is 60, while the sum is 14.

The square root of 6512 is about 80.6969640073. The cubic root of 6512 is about 18.6740333736.

Adding to 6512 its reverse (2156), we get a palindrome (8668).

Subtracting from 6512 its reverse (2156), we obtain a square (4356 = 66²).

It can be divided in two parts, 65 and 12, that multiplied together give a triangular number (780 = T₃₉).

The spelling of 6512 in words is "six thousand, five hundred twelve".