51095200 has 144 divisors (see below), whose sum is σ = 142725240. Its totient is φ = 17756160.

The previous prime is 51095173. The next prime is 51095201. The reversal of 51095200 is 259015.

It can be written as a sum of positive squares in 12 ways, for example, as 571536 + 50523664 = 756^2 + 7108^2 .

It is a super-2 number, since 2×51095200² = 5221438926080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51095201) 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 23 ways as a sum of consecutive naturals, for example, 3005592 + ... + 3005608.

Almost surely, 2^51095200 is an apocalyptic number.

51095200 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 51095200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71362620).

51095200 is an abundant number, since it is smaller than the sum of its proper divisors (91630040).

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

51095200 is a wasteful number, since it uses less digits than its factorization.

51095200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 22.

The square root of 51095200 is about 7148.0906541537. The cubic root of 51095200 is about 371.0735802408.

The spelling of 51095200 in words is "fifty-one million, ninety-five thousand, two hundred".