6512511440 has 80 divisors (see below), whose sum is σ = 16488230400. Its totient is φ = 2382782976.

The previous prime is 6512511427. The next prime is 6512511491. The reversal of 6512511440 is 441152156.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×6512511440³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (29).

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, 29792 + ... + 117951.

It is an arithmetic number, because the mean of its divisors is an integer number (206102880).

Almost surely, 2^6512511440 is an apocalyptic number.

It is an amenable number.

6512511440 is an abundant number, since it is smaller than the sum of its proper divisors (9975718960).

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

6512511440 is a wasteful number, since it uses less digits than its factorization.

6512511440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147804 (or 147798 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 6512511440 is about 80700.1328375611. The cubic root of 6512511440 is about 1867.4522235029.

Adding to 6512511440 its reverse (441152156), we get a palindrome (6953663596).

The spelling of 6512511440 in words is "six billion, five hundred twelve million, five hundred eleven thousand, four hundred forty".