5206318656 has 224 divisors, whose sum is σ = 17265822720. Its totient is φ = 1345075200.

The previous prime is 5206318633. The next prime is 5206318661. The reversal of 5206318656 is 6568136025.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3118590 + ... + 3120258.

Almost surely, 2^5206318656 is an apocalyptic number.

5206318656 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 5206318656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8632911360).

5206318656 is an abundant number, since it is smaller than the sum of its proper divisors (12059504064).

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

5206318656 is a wasteful number, since it uses less digits than its factorization.

5206318656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 5206318656 is about 72154.8242046227. The cubic root of 5206318656 is about 1733.1796531730.

The spelling of 5206318656 in words is "five billion, two hundred six million, three hundred eighteen thousand, six hundred fifty-six".