51543200 has 72 divisors (see below), whose sum is σ = 132491520. Its totient is φ = 19526400.

The previous prime is 51543131. The next prime is 51543203. The reversal of 51543200 is 234515.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (51543203) 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 11 ways as a sum of consecutive naturals, for example, 13505 + ... + 16895.

It is an arithmetic number, because the mean of its divisors is an integer number (1840160).

Almost surely, 2^51543200 is an apocalyptic number.

51543200 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 51543200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66245760).

51543200 is an abundant number, since it is smaller than the sum of its proper divisors (80948320).

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

51543200 is a wasteful number, since it uses less digits than its factorization.

51543200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3430 (or 3417 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 51543200 is about 7179.3593028905. The cubic root of 51543200 is about 372.1549437407.

Adding to 51543200 its reverse (234515), we get a palindrome (51777715).

The spelling of 51543200 in words is "fifty-one million, five hundred forty-three thousand, two hundred".