6503553056 has 192 divisors, whose sum is σ = 17297473536. Its totient is φ = 2324505600.

The previous prime is 6503553047. The next prime is 6503553107.

It is a happy number.

6503553056 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6117581 + ... + 6118643.

It is an arithmetic number, because the mean of its divisors is an integer number (90091008).

Almost surely, 2^6503553056 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 6503553056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8648736768).

6503553056 is an abundant number, since it is smaller than the sum of its proper divisors (10793920480).

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

6503553056 is a wasteful number, since it uses less digits than its factorization.

6503553056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 202500, while the sum is 38.

The square root of 6503553056 is about 80644.6095904742. The cubic root of 6503553056 is about 1866.5955631646.

The spelling of 6503553056 in words is "six billion, five hundred three million, five hundred fifty-three thousand, fifty-six".