51012 has 36 divisors (see below), whose sum is σ = 140140. Its totient is φ = 15552.

The previous prime is 51001. The next prime is 51031. The reversal of 51012 is 21015.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 20736 + 30276 = 144^2 + 174^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 50985 and 51003.

It is an unprimeable number.

51012 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 414 + ... + 522.

2⁵¹⁰¹² is an apocalyptic number.

51012 is a gapful number since it is divisible by the number (52) 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 51012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70070).

51012 is an abundant number, since it is smaller than the sum of its proper divisors (89128).

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

51012 is a wasteful number, since it uses less digits than its factorization.

51012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 51012 is about 225.8583626966. The cubic root of 51012 is about 37.0872060369.

Adding to 51012 its reverse (21015), we get a palindrome (72027).

The spelling of 51012 in words is "fifty-one thousand, twelve".