5006561056 has 48 divisors (see below), whose sum is σ = 11300458176. Its totient is φ = 2138870016.

The previous prime is 5006561051. The next prime is 5006561071. The reversal of 5006561056 is 6501656005.

It is not an unprimeable number, because it can be changed into a prime (5006561051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35755 + ... + 106261.

It is an arithmetic number, because the mean of its divisors is an integer number (235426212).

Almost surely, 2^5006561056 is an apocalyptic number.

5006561056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5006561056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5650229088).

5006561056 is an abundant number, since it is smaller than the sum of its proper divisors (6293897120).

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

5006561056 is a wasteful number, since it uses less digits than its factorization.

5006561056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70841 (or 70833 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 34.

The square root of 5006561056 is about 70757.0565809517. The cubic root of 5006561056 is about 1710.7235696219.

The spelling of 5006561056 in words is "five billion, six million, five hundred sixty-one thousand, fifty-six".