51082400 has 36 divisors (see below), whose sum is σ = 124706862. Its totient is φ = 20432640.

The previous prime is 51082357. The next prime is 51082403. The reversal of 51082400 is 428015.

It can be written as a sum of positive squares in 3 ways, for example, as 24167056 + 26915344 = 4916^2 + 5188^2 .

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 (51082403) 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, 31127 + ... + 32726.

Almost surely, 2^51082400 is an apocalyptic number.

51082400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51082400 is an abundant number, since it is smaller than the sum of its proper divisors (73624462).

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

51082400 is a wasteful number, since it uses less digits than its factorization.

51082400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63873 (or 63860 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 51082400 is about 7147.1952540839. The cubic root of 51082400 is about 371.0425914297.

The spelling of 51082400 in words is "fifty-one million, eighty-two thousand, four hundred".