52261 has 4 divisors (see below), whose sum is σ = 57024. Its totient is φ = 47500.

The previous prime is 52259. The next prime is 52267. The reversal of 52261 is 16225.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 52261 - 2¹ = 52259 is a prime.

52261 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52267) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2365 + ... + 2386.

It is an arithmetic number, because the mean of its divisors is an integer number (14256).

2⁵²²⁶¹ is an apocalyptic number.

It is an amenable number.

52261 is a deficient number, since it is larger than the sum of its proper divisors (4763).

52261 is a wasteful number, since it uses less digits than its factorization.

52261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4762.

The product of its digits is 120, while the sum is 16.

The square root of 52261 is about 228.6066490722. The cubic root of 52261 is about 37.3874551614.

Adding to 52261 its reverse (16225), we get a palindrome (68486).

It can be divided in two parts, 52 and 261, that added together give a palindrome (313).

The spelling of 52261 in words is "fifty-two thousand, two hundred sixty-one".