51233200 has 60 divisors (see below), whose sum is σ = 123776800. Its totient is φ = 20378880.

The previous prime is 51233153. The next prime is 51233209. The reversal of 51233200 is 233215.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (51233209) 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, 139417 + ... + 139783.

Almost surely, 2^51233200 is an apocalyptic number.

51233200 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 51233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61888400).

51233200 is an abundant number, since it is smaller than the sum of its proper divisors (72543600).

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

51233200 is a wasteful number, since it uses less digits than its factorization.

51233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 51233200 is about 7157.7370725670. The cubic root of 51233200 is about 371.4073501541.

Adding to 51233200 its reverse (233215), we get a palindrome (51466415).

The spelling of 51233200 in words is "fifty-one million, two hundred thirty-three thousand, two hundred".