51083600 has 30 divisors (see below), whose sum is σ = 122729310. Its totient is φ = 20433280.

The previous prime is 51083531. The next prime is 51083603. The reversal of 51083600 is 638015.

It can be written as a sum of positive squares in 3 ways, for example, as 1915456 + 49168144 = 1384^2 + 7012^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51083603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 63455 + ... + 64254.

It is an arithmetic number, because the mean of its divisors is an integer number (4090977).

Almost surely, 2^51083600 is an apocalyptic number.

51083600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51083600 is an abundant number, since it is smaller than the sum of its proper divisors (71645710).

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

51083600 is a wasteful number, since it uses less digits than its factorization.

51083600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127727 (or 127716 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 51083600 is about 7147.2792026057. The cubic root of 51083600 is about 371.0454968506.

The spelling of 51083600 in words is "fifty-one million, eighty-three thousand, six hundred".