51005200 has 60 divisors (see below), whose sum is σ = 126794340. Its totient is φ = 19694080.

The previous prime is 51005167. The next prime is 51005209. The reversal of 51005200 is 250015.

It can be written as a sum of positive squares in 6 ways, for example, as 992016 + 50013184 = 996^2 + 7072^2 .

It is not an unprimeable number, because it can be changed into a prime (51005209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9402 + ... + 13798.

It is an arithmetic number, because the mean of its divisors is an integer number (2113239).

Almost surely, 2^51005200 is an apocalyptic number.

51005200 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 51005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63397170).

51005200 is an abundant number, since it is smaller than the sum of its proper divisors (75789140).

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

51005200 is a wasteful number, since it uses less digits than its factorization.

51005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4444 (or 4433 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 13.

The square root of 51005200 is about 7141.7924920849. The cubic root of 51005200 is about 370.8555803119.

Adding to 51005200 its reverse (250015), we get a palindrome (51255215).

The spelling of 51005200 in words is "fifty-one million, five thousand, two hundred".