6503993056 has 96 divisors (see below), whose sum is σ = 14912190720. Its totient is φ = 2761113600.

The previous prime is 6503993053. The next prime is 6503993117.

It is a happy number.

6503993056 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 6503992997 and 6503993015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6503993053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 468000 + ... + 481696.

It is an arithmetic number, because the mean of its divisors is an integer number (155335320).

Almost surely, 2^6503993056 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 6503993056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7456095360).

6503993056 is an abundant number, since it is smaller than the sum of its proper divisors (8408197664).

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

6503993056 is a wasteful number, since it uses less digits than its factorization.

6503993056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13808 (or 13800 counting only the distinct ones).

The product of its (nonzero) digits is 656100, while the sum is 46.

The square root of 6503993056 is about 80647.3375629971. The cubic root of 6503993056 is about 1866.6376572589.

The spelling of 6503993056 in words is "six billion, five hundred three million, nine hundred ninety-three thousand, fifty-six".