It is a nialpdrome in base 9 and base 10.
It is a zygodrome in base 9.
It is a congruent number.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 6500.
It is an unprimeable number.
26500 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 6500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7644).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6500 is a wasteful number, since it uses less digits than its factorization.
6500 is an evil number, because the sum of its binary digits is even.
The square root of 6500 is about 80.6225774830. The cubic root of 6500 is about 18.6625557841.
Multiplying 6500 by its product of nonzero digits (30), we get a triangular number (195000 = T624).
Adding to 6500 its reverse (56), we get a palindrome (6556).
The spelling of 6500 in words is "six thousand, five hundred".