51361300 has 72 divisors (see below), whose sum is σ = 117867456. Its totient is φ = 19388160.

The previous prime is 51361279. The next prime is 51361309. The reversal of 51361300 is 316315.

51361300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51361309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315019 + ... + 315181.

It is an arithmetic number, because the mean of its divisors is an integer number (1637048).

Almost surely, 2^51361300 is an apocalyptic number.

51361300 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 51361300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58933728).

51361300 is an abundant number, since it is smaller than the sum of its proper divisors (66506156).

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

51361300 is a wasteful number, since it uses less digits than its factorization.

51361300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 330 counting only the distinct ones).

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

The square root of 51361300 is about 7166.6798449491. The cubic root of 51361300 is about 371.7166397264.

Adding to 51361300 its reverse (316315), we get a palindrome (51677615).

The spelling of 51361300 in words is "fifty-one million, three hundred sixty-one thousand, three hundred".