51900 has 36 divisors (see below), whose sum is σ = 151032. Its totient is φ = 13760.

The previous prime is 51899. The next prime is 51907. The reversal of 51900 is 915.

It is a super-2 number, since 2×51900² = 5387220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 51900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51907) 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, 214 + ... + 386.

2⁵¹⁹⁰⁰ is an apocalyptic number.

51900 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 51900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75516).

51900 is an abundant number, since it is smaller than the sum of its proper divisors (99132).

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

51900 is a wasteful number, since it uses less digits than its factorization.

51900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 15.

The square root of 51900 is about 227.8157149979. The cubic root of 51900 is about 37.3011698608.

Adding to 51900 its sum of digits (15), we get a palindrome (51915).

The spelling of 51900 in words is "fifty-one thousand, nine hundred".