561531200 has 84 divisors (see below), whose sum is σ = 1441886880. Its totient is φ = 214832640.

The previous prime is 561531197. The next prime is 561531211. The reversal of 561531200 is 2135165.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29171 + ... + 44429.

It is an arithmetic number, because the mean of its divisors is an integer number (17165320).

Almost surely, 2^561531200 is an apocalyptic number.

561531200 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 561531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720943440).

561531200 is an abundant number, since it is smaller than the sum of its proper divisors (880355680).

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

561531200 is a wasteful number, since it uses less digits than its factorization.

561531200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15304 (or 15289 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 561531200 is about 23696.6495522046. The cubic root of 561531200 is about 825.0076277226.

Adding to 561531200 its reverse (2135165), we get a palindrome (563666365).

The spelling of 561531200 in words is "five hundred sixty-one million, five hundred thirty-one thousand, two hundred".