51310400 has 42 divisors (see below), whose sum is σ = 126259590. Its totient is φ = 20523520.

The previous prime is 51310387. The next prime is 51310411. The reversal of 51310400 is 401315.

51310400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 8904256 + 42406144 = 2984^2 + 6512^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14435 + ... + 17634.

Almost surely, 2^51310400 is an apocalyptic number.

51310400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51310400 is an abundant number, since it is smaller than the sum of its proper divisors (74949190).

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

51310400 is a wasteful number, since it uses less digits than its factorization.

51310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32091 (or 32076 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 51310400 is about 7163.1278084368. The cubic root of 51310400 is about 371.5938064483.

Adding to 51310400 its reverse (401315), we get a palindrome (51711715).

The spelling of 51310400 in words is "fifty-one million, three hundred ten thousand, four hundred".