51131200 has 42 divisors (see below), whose sum is σ = 125818646. Its totient is φ = 20451840.

The previous prime is 51131131. The next prime is 51131207. The reversal of 51131200 is 213115.

It can be written as a sum of positive squares in 3 ways, for example, as 8202496 + 42928704 = 2864^2 + 6552^2 .

It is a super-2 number, since 2×51131200² = 5228799226880000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51131207) 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, 14379 + ... + 17578.

Almost surely, 2^51131200 is an apocalyptic number.

51131200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51131200 is an abundant number, since it is smaller than the sum of its proper divisors (74687446).

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

51131200 is a wasteful number, since it uses less digits than its factorization.

51131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31979 (or 31964 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 51131200 is about 7150.6083657267. The cubic root of 51131200 is about 371.1607085344.

Adding to 51131200 its reverse (213115), we get a palindrome (51344315).

The spelling of 51131200 in words is "fifty-one million, one hundred thirty-one thousand, two hundred".