51563200 has 168 divisors, whose sum is σ = 142424912. Its totient is φ = 18247680.

The previous prime is 51563191. The next prime is 51563201. The reversal of 51563200 is 236515.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (51563201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 769567 + ... + 769633.

Almost surely, 2^51563200 is an apocalyptic number.

51563200 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 51563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71212456).

51563200 is an abundant number, since it is smaller than the sum of its proper divisors (90861712).

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

51563200 is a wasteful number, since it uses less digits than its factorization.

51563200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 124 counting only the distinct ones).

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

The square root of 51563200 is about 7180.7520497508. The cubic root of 51563200 is about 372.2030725361.

Adding to 51563200 its reverse (236515), we get a palindrome (51799715).

The spelling of 51563200 in words is "fifty-one million, five hundred sixty-three thousand, two hundred".