51261 has 8 divisors (see below), whose sum is σ = 78144. Its totient is φ = 29280.

The previous prime is 51257. The next prime is 51263. The reversal of 51261 is 16215.

51261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 51261 - 2² = 51257 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 51261.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51263) 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, 1200 + ... + 1241.

It is an arithmetic number, because the mean of its divisors is an integer number (9768).

2⁵¹²⁶¹ is an apocalyptic number.

It is an amenable number.

51261 is a deficient number, since it is larger than the sum of its proper divisors (26883).

51261 is a wasteful number, since it uses less digits than its factorization.

51261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2451.

The product of its digits is 60, while the sum is 15.

The square root of 51261 is about 226.4089220857. The cubic root of 51261 is about 37.1474515309.

Adding to 51261 its reverse (16215), we get a palindrome (67476).

The spelling of 51261 in words is "fifty-one thousand, two hundred sixty-one".