5206752096 has 432 divisors, whose sum is σ = 17991880704. Its totient is φ = 1290691584.

The previous prime is 5206752079. The next prime is 5206752143. The reversal of 5206752096 is 6902576025.

It is a super-2 number, since 2×5206752096² = 54220534778400786432, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40997985 + ... + 40998111.

It is an arithmetic number, because the mean of its divisors is an integer number (41647872).

Almost surely, 2^5206752096 is an apocalyptic number.

5206752096 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 5206752096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8995940352).

5206752096 is an abundant number, since it is smaller than the sum of its proper divisors (12785128608).

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

5206752096 is a wasteful number, since it uses less digits than its factorization.

5206752096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 5206752096 is about 72157.8276834884. The cubic root of 5206752096 is about 1733.2277491241.

The spelling of 5206752096 in words is "five billion, two hundred six million, seven hundred fifty-two thousand, ninety-six".