56531200 has 162 divisors, whose sum is σ = 155907122. Its totient is φ = 20275200.

The previous prime is 56531191. The next prime is 56531207. The reversal of 56531200 is 213565.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 4460544 + 52070656 = 2112^2 + 7216^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (56531207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 774364 + ... + 774436.

Almost surely, 2^56531200 is an apocalyptic number.

56531200 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 56531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77953561).

56531200 is an abundant number, since it is smaller than the sum of its proper divisors (99375922).

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

56531200 is a wasteful number, since it uses less digits than its factorization.

56531200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 56531200 is about 7518.7232958794. The cubic root of 56531200 is about 383.7921328679.

Adding to 56531200 its reverse (213565), we get a palindrome (56744765).

The spelling of 56531200 in words is "fifty-six million, five hundred thirty-one thousand, two hundred".