51053600 has 72 divisors (see below), whose sum is σ = 134249220. Its totient is φ = 18846720.

The previous prime is 51053591. The next prime is 51053603. The reversal of 51053600 is 635015.

It can be written as a sum of positive squares in 6 ways, for example, as 26173456 + 24880144 = 5116^2 + 4988^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (51053603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7946 + ... + 12854.

Almost surely, 2^51053600 is an apocalyptic number.

51053600 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 51053600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67124610).

51053600 is an abundant number, since it is smaller than the sum of its proper divisors (83195620).

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

51053600 is a wasteful number, since it uses less digits than its factorization.

51053600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4942 (or 4929 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 51053600 is about 7145.1801936690. The cubic root of 51053600 is about 370.9728476725.

Adding to 51053600 its reverse (635015), we get a palindrome (51688615).

The spelling of 51053600 in words is "fifty-one million, fifty-three thousand, six hundred".