51150 has 48 divisors (see below), whose sum is σ = 142848. Its totient is φ = 12000.

The previous prime is 51137. The next prime is 51151. The reversal of 51150 is 5115.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51151) by changing a digit.

51150 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1635 + ... + 1665.

It is an arithmetic number, because the mean of its divisors is an integer number (2976).

2⁵¹¹⁵⁰ is an apocalyptic number.

51150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 51150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71424).

51150 is an abundant number, since it is smaller than the sum of its proper divisors (91698).

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

51150 is a wasteful number, since it uses less digits than its factorization.

51150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 12.

The square root of 51150 is about 226.1636575580. The cubic root of 51150 is about 37.1206192611.

Adding to 51150 its reverse (5115), we get a palindrome (56265).

It can be divided in two parts, 511 and 50, that added together give a triangular number (561 = T₃₃).

The spelling of 51150 in words is "fifty-one thousand, one hundred fifty".