51300 has 72 divisors (see below), whose sum is σ = 173600. Its totient is φ = 12960.

The previous prime is 51287. The next prime is 51307. The reversal of 51300 is 315.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 9 and base 16.

It is not an unprimeable number, because it can be changed into a prime (51307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2691 + ... + 2709.

2⁵¹³⁰⁰ is an apocalyptic number.

51300 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 51300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86800).

51300 is an abundant number, since it is smaller than the sum of its proper divisors (122300).

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

51300 is a wasteful number, since it uses less digits than its factorization.

51300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 51300 is about 226.4950330581. The cubic root of 51300 is about 37.1568698889.

Adding to 51300 its product of nonzero digits (15), we get a palindrome (51315).

Adding to 51300 its reverse (315), we get a palindrome (51615).

It can be divided in two parts, 51 and 300, that added together give a triangular number (351 = T₂₆).

The spelling of 51300 in words is "fifty-one thousand, three hundred".