5200752000 has 256 divisors, whose sum is σ = 17433823680. Its totient is φ = 1371340800.

The previous prime is 5200751999. The next prime is 5200752017. The reversal of 5200752000 is 2570025.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4655442 + ... + 4656558.

Almost surely, 2^5200752000 is an apocalyptic number.

5200752000 is a gapful number since it is divisible by the number (50) 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 5200752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8716911840).

5200752000 is an abundant number, since it is smaller than the sum of its proper divisors (12233071680).

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

5200752000 is a wasteful number, since it uses less digits than its factorization.

5200752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 5200752000 is about 72116.2395026252. The cubic root of 5200752000 is about 1732.5617209906.

The spelling of 5200752000 in words is "five billion, two hundred million, seven hundred fifty-two thousand".