6517512048256 has 96 divisors (see below), whose sum is σ = 14294863195200. Its totient is φ = 2957715171840.

The previous prime is 6517512048197. The next prime is 6517512048263. The reversal of 6517512048256 is 6528402157156.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9247161 + ... + 9926983.

It is an arithmetic number, because the mean of its divisors is an integer number (148904824950).

Almost surely, 2^{6517512048256} 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 6517512048256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7147431597600).

6517512048256 is an abundant number, since it is smaller than the sum of its proper divisors (7777351146944).

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

6517512048256 is a wasteful number, since it uses less digits than its factorization.

6517512048256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680478 (or 680455 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 52.

The spelling of 6517512048256 in words is "six trillion, five hundred seventeen billion, five hundred twelve million, forty-eight thousand, two hundred fifty-six".