5202871200 has 216 divisors, whose sum is σ = 18457092108. Its totient is φ = 1379082240.

The previous prime is 5202871183. The next prime is 5202871241. The reversal of 5202871200 is 21782025.

It can be written as a sum of positive squares in 6 ways, for example, as 4281870096 + 921001104 = 65436^2 + 30348^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1243512 + ... + 1247688.

Almost surely, 2^5202871200 is an apocalyptic number.

5202871200 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 5202871200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9228546054).

5202871200 is an abundant number, since it is smaller than the sum of its proper divisors (13254220908).

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

5202871200 is a wasteful number, since it uses less digits than its factorization.

5202871200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4376 (or 4360 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 5202871200 is about 72130.9309519848. The cubic root of 5202871200 is about 1732.7970168481.

It can be divided in two parts, 5202 and 871200, that multiplied together give a square (4531982400 = 67320²).

The spelling of 5202871200 in words is "five billion, two hundred two million, eight hundred seventy-one thousand, two hundred".