51066 has 12 divisors (see below), whose sum is σ = 110682. Its totient is φ = 17016.

The previous prime is 51061. The next prime is 51071. The reversal of 51066 is 66015.

It is an interprime number because it is at equal distance from previous prime (51061) and next prime (51071).

It can be written as a sum of positive squares in only one way, i.e., 50625 + 441 = 225^2 + 21^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 2837 = 51066 / (5 + 1 + 0 + 6 + 6).

It is not an unprimeable number, because it can be changed into a prime (51061) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1401 + ... + 1436.

2⁵¹⁰⁶⁶ is an apocalyptic number.

51066 is an abundant number, since it is smaller than the sum of its proper divisors (59616).

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

51066 is a wasteful number, since it uses less digits than its factorization.

51066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2845 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 51066 is about 225.9778750232. The cubic root of 51066 is about 37.1002879449.

It can be divided in two parts, 510 and 66, that added together give a square (576 = 24²).

The spelling of 51066 in words is "fifty-one thousand, sixty-six".