51140200 has 48 divisors (see below), whose sum is σ = 119506860. Its totient is φ = 20352000.

The previous prime is 51140171. The next prime is 51140203. The reversal of 51140200 is 204115.

It can be written as a sum of positive squares in 6 ways, for example, as 29181604 + 21958596 = 5402^2 + 4686^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51140203) 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 11 ways as a sum of consecutive naturals, for example, 47670 + ... + 48730.

Almost surely, 2^51140200 is an apocalyptic number.

51140200 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 51140200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59753430).

51140200 is an abundant number, since it is smaller than the sum of its proper divisors (68366660).

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

51140200 is a wasteful number, since it uses less digits than its factorization.

51140200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 51140200 is about 7151.2376551196. The cubic root of 51140200 is about 371.1824842173.

Adding to 51140200 its reverse (204115), we get a palindrome (51344315).

The spelling of 51140200 in words is "fifty-one million, one hundred forty thousand, two hundred".