6512000 has 128 divisors (see below), whose sum is σ = 18139680. Its totient is φ = 2304000.

The previous prime is 6511997. The next prime is 6512027. The reversal of 6512000 is 2156.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×6512000² = 84812288000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175982 + ... + 176018.

Almost surely, 2^6512000 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 6512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9069840).

6512000 is an abundant number, since it is smaller than the sum of its proper divisors (11627680).

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

6512000 is a wasteful number, since it uses less digits than its factorization.

6512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 55 counting only the distinct ones).

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

The square root of 6512000 is about 2551.8620652379. The cubic root of 6512000 is about 186.7403337356.

Adding to 6512000 its reverse (2156), we get a palindrome (6514156).

The spelling of 6512000 in words is "six million, five hundred twelve thousand".