5226506208 has 864 divisors, whose sum is σ = 20704844160. Its totient is φ = 1280240640.

The previous prime is 5226506189. The next prime is 5226506249. The reversal of 5226506208 is 8026056225.

5226506208 is a `hidden beast` number, since 5 + 2 + 26 + 5 + 0 + 620 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 121546635 + ... + 121546677.

It is an arithmetic number, because the mean of its divisors is an integer number (23963940).

Almost surely, 2^5226506208 is an apocalyptic number.

5226506208 is a gapful number since it is divisible by the number (58) 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 5226506208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10352422080).

5226506208 is an abundant number, since it is smaller than the sum of its proper divisors (15478337952).

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

5226506208 is a wasteful number, since it uses less digits than its factorization.

5226506208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5226506208 is about 72294.5793818596. The cubic root of 5226506208 is about 1735.4169044119.

The spelling of 5226506208 in words is "five billion, two hundred twenty-six million, five hundred six thousand, two hundred eight".