561131400 has 96 divisors (see below), whose sum is σ = 1743415200. Its totient is φ = 149299200.

The previous prime is 561131369. The next prime is 561131401. The reversal of 561131400 is 4131165.

561131400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (561131401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 383871 + ... + 385329.

It is an arithmetic number, because the mean of its divisors is an integer number (18160575).

Almost surely, 2^561131400 is an apocalyptic number.

561131400 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 561131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871707600).

561131400 is an abundant number, since it is smaller than the sum of its proper divisors (1182283800).

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

561131400 is a wasteful number, since it uses less digits than its factorization.

561131400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 561131400 is about 23688.2122584209. The cubic root of 561131400 is about 824.8117844283.

Adding to 561131400 its reverse (4131165), we get a palindrome (565262565).

The spelling of 561131400 in words is "five hundred sixty-one million, one hundred thirty-one thousand, four hundred".