51325200 has 180 divisors, whose sum is σ = 182147940. Its totient is φ = 13378560.

The previous prime is 51325189. The next prime is 51325201. The reversal of 51325200 is 252315.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4210704 + 47114496 = 2052^2 + 6864^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (51325201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 190666 + ... + 190934.

It is an arithmetic number, because the mean of its divisors is an integer number (1011933).

Almost surely, 2^51325200 is an apocalyptic number.

51325200 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 51325200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91073970).

51325200 is an abundant number, since it is smaller than the sum of its proper divisors (130822740).

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

51325200 is a wasteful number, since it uses less digits than its factorization.

51325200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 51325200 is about 7164.1608022154. The cubic root of 51325200 is about 371.6295305877.

Adding to 51325200 its reverse (252315), we get a palindrome (51577515).

The spelling of 51325200 in words is "fifty-one million, three hundred twenty-five thousand, two hundred".