5200717456 has 75 divisors (see below), whose sum is σ = 11158848505. Its totient is φ = 2348096960.

The previous prime is 5200717453. The next prime is 5200717471. The reversal of 5200717456 is 6547170025.

The square root of 5200717456 is 72116.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 609299856 + 4591417600 = 24684^2 + 67760^2 .

It is a super-2 number, since 2×5200717456² = 54094924114286223872, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5200717451) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 34904070 + ... + 34904218.

Almost surely, 2^5200717456 is an apocalyptic number.

5200717456 is the 72116-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5200717456

5200717456 is an abundant number, since it is smaller than the sum of its proper divisors (5958131049).

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

5200717456 is an frugal number, since it uses more digits than its factorization.

5200717456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 37.

The cubic root of 5200717456 is about 1732.5578850232.

The spelling of 5200717456 in words is "five billion, two hundred million, seven hundred seventeen thousand, four hundred fifty-six".