51065 has 8 divisors (see below), whose sum is σ = 70080. Its totient is φ = 34992.

The previous prime is 51061. The next prime is 51071. The reversal of 51065 is 56015.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 51065 - 2² = 51061 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 51065.

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 7 ways as a sum of consecutive naturals, for example, 695 + ... + 764.

It is an arithmetic number, because the mean of its divisors is an integer number (8760).

2⁵¹⁰⁶⁵ is an apocalyptic number.

It is an amenable number.

51065 is a deficient number, since it is larger than the sum of its proper divisors (19015).

51065 is a wasteful number, since it uses less digits than its factorization.

51065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471.

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 51065 is about 225.9756624064. The cubic root of 51065 is about 37.1000457712.

Adding to 51065 its product of nonzero digits (150), we get a palindrome (51215).

Subtracting 51065 from its reverse (56015), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 510 and 65, that added together give a palindrome (575).

The spelling of 51065 in words is "fifty-one thousand, sixty-five".