6513283296 has 432 divisors, whose sum is σ = 21667988160. Its totient is φ = 1843845120.

The previous prime is 6513283291. The next prime is 6513283297. The reversal of 6513283296 is 6923823156.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6513283291) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 82446585 + ... + 82446663.

It is an arithmetic number, because the mean of its divisors is an integer number (50157380).

Almost surely, 2^6513283296 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 6513283296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10833994080).

6513283296 is an abundant number, since it is smaller than the sum of its proper divisors (15154704864).

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

6513283296 is a wasteful number, since it uses less digits than its factorization.

6513283296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 177 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 6513283296 is about 80704.9149432672. The cubic root of 6513283296 is about 1867.5259967457.

The spelling of 6513283296 in words is "six billion, five hundred thirteen million, two hundred eighty-three thousand, two hundred ninety-six".