51331600 has 60 divisors (see below), whose sum is σ = 124180420. Its totient is φ = 20390400.

The previous prime is 51331591. The next prime is 51331603. The reversal of 51331600 is 613315.

It can be written as a sum of positive squares in 6 ways, for example, as 20684304 + 30647296 = 4548^2 + 5536^2 .

It is not an unprimeable number, because it can be changed into a prime (51331603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72046 + ... + 72754.

Almost surely, 2^51331600 is an apocalyptic number.

51331600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51331600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62090210).

51331600 is an abundant number, since it is smaller than the sum of its proper divisors (72848820).

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

51331600 is a wasteful number, since it uses less digits than its factorization.

51331600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 51331600 is about 7164.6074560997. The cubic root of 51331600 is about 371.6449767372.

Adding to 51331600 its reverse (613315), we get a palindrome (51944915).

The spelling of 51331600 in words is "fifty-one million, three hundred thirty-one thousand, six hundred".