6507117056 has 80 divisors (see below), whose sum is σ = 14384132928. Its totient is φ = 2915942400.

The previous prime is 6507117041. The next prime is 6507117061.

6507117056 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6507117056² = 84685144760972214272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 391736 + ... + 408008.

Almost surely, 2^6507117056 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 6507117056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7192066464).

6507117056 is an abundant number, since it is smaller than the sum of its proper divisors (7877015872).

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

6507117056 is a wasteful number, since it uses less digits than its factorization.

6507117056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16373 (or 16357 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 38.

The square root of 6507117056 is about 80666.7035151431. The cubic root of 6507117056 is about 1866.9364707518.

The spelling of 6507117056 in words is "six billion, five hundred seven million, one hundred seventeen thousand, fifty-six".