51132 has 12 divisors (see below), whose sum is σ = 119336. Its totient is φ = 17040.

The previous prime is 51131. The next prime is 51133. The reversal of 51132 is 23115.

It is an interprime number because it is at equal distance from previous prime (51131) and next prime (51133).

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×51132² = 5228962848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 4261 = 51132 / (5 + 1 + 1 + 3 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51131) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2119 + ... + 2142.

2⁵¹¹³² is an apocalyptic number.

It is an amenable number.

51132 is an abundant number, since it is smaller than the sum of its proper divisors (68204).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59668).

51132 is a wasteful number, since it uses less digits than its factorization.

51132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4268 (or 4266 counting only the distinct ones).

The product of its digits is 30, while the sum is 12.

The square root of 51132 is about 226.1238598645. The cubic root of 51132 is about 37.1162644254.

Adding to 51132 its reverse (23115), we get a palindrome (74247).

It can be divided in two parts, 5113 and 2, that added together give a palindrome (5115).

The spelling of 51132 in words is "fifty-one thousand, one hundred thirty-two".