6517000000 has 392 divisors, whose sum is σ = 19843496000. Its totient is φ = 2116800000.

The previous prime is 6516999989. The next prime is 6517000001. The reversal of 6517000000 is 7156.

It is a tau number, because it is divible by the number of its divisors (392).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 6517000000 = 660³ + 1840³ = 1050³ + 1750³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6517000001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 342999991 + ... + 343000009.

Almost surely, 2^6517000000 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 6517000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9921748000).

6517000000 is an abundant number, since it is smaller than the sum of its proper divisors (13326496000).

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

6517000000 is an frugal number, since it uses more digits than its factorization.

6517000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 6517000000 is about 80727.9381626956. The cubic root of 6517000000 is about 1867.8811541054.

6517000000 divided by its sum of digits (19) gives a cube (343000000 = 700³).

Adding to 6517000000 its reverse (7156), we get a palindrome (6517007156).

The spelling of 6517000000 in words is "six billion, five hundred seventeen million", and thus it is an aban number.