521268200 has 48 divisors (see below), whose sum is σ = 1216579500. Its totient is φ = 207710720.

The previous prime is 521268199. The next prime is 521268233. The reversal of 521268200 is 2862125.

It can be written as a sum of positive squares in 6 ways, for example, as 82700836 + 438567364 = 9094^2 + 20942^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 521268200.

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 11 ways as a sum of consecutive naturals, for example, 48956 + ... + 58644.

Almost surely, 2^521268200 is an apocalyptic number.

521268200 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 521268200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608289750).

521268200 is an abundant number, since it is smaller than the sum of its proper divisors (695311300).

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

521268200 is a wasteful number, since it uses less digits than its factorization.

521268200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9974 (or 9965 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 521268200 is about 22831.2986928033. The cubic root of 521268200 is about 804.7983497589.

The spelling of 521268200 in words is "five hundred twenty-one million, two hundred sixty-eight thousand, two hundred".