51245200 has 30 divisors (see below), whose sum is σ = 123117554. Its totient is φ = 20497920.

The previous prime is 51245149. The next prime is 51245209. The reversal of 51245200 is 254215.

It can be written as a sum of positive squares in 3 ways, for example, as 36864 + 51208336 = 192^2 + 7156^2 .

It is not an unprimeable number, because it can be changed into a prime (51245209) 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 5 ways as a sum of consecutive naturals, for example, 63657 + ... + 64456.

Almost surely, 2^51245200 is an apocalyptic number.

51245200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51245200 is an abundant number, since it is smaller than the sum of its proper divisors (71872354).

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

51245200 is a wasteful number, since it uses less digits than its factorization.

51245200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128131 (or 128120 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 51245200 is about 7158.5752772462. The cubic root of 51245200 is about 371.4363452867.

Adding to 51245200 its reverse (254215), we get a palindrome (51499415).

The spelling of 51245200 in words is "fifty-one million, two hundred forty-five thousand, two hundred".