6561303200 has 72 divisors (see below), whose sum is σ = 16033465980. Its totient is φ = 2621952000.

The previous prime is 6561303181. The next prime is 6561303239. The reversal of 6561303200 is 23031656.

It can be written as a sum of positive squares in 6 ways, for example, as 545129104 + 6016174096 = 23348^2 + 77564^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6561303200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 957386 + ... + 964214.

Almost surely, 2^6561303200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6561303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8016732990).

6561303200 is an abundant number, since it is smaller than the sum of its proper divisors (9472162780).

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

6561303200 is a wasteful number, since it uses less digits than its factorization.

6561303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8050 (or 8037 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 6561303200 is about 81001.8715833159. The cubic root of 6561303200 is about 1872.1042780444.

Adding to 6561303200 its reverse (23031656), we get a palindrome (6584334856).

The spelling of 6561303200 in words is "six billion, five hundred sixty-one million, three hundred three thousand, two hundred".