53261 has 8 divisors (see below), whose sum is σ = 60984. Its totient is φ = 46080.

The previous prime is 53239. The next prime is 53267. The reversal of 53261 is 16235.

53261 = 5³ + 6³ + ... + 21³.

53261 is nontrivially palindromic in base 16.

It can be written as a sum of positive squares in 4 ways, for example, as 11236 + 42025 = 106^2 + 205^2 .

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 53261 - 2⁶ = 53197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53267) 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, 101 + ... + 341.

It is an arithmetic number, because the mean of its divisors is an integer number (7623).

2⁵³²⁶¹ is an apocalyptic number.

It is an amenable number.

53261 is a deficient number, since it is larger than the sum of its proper divisors (7723).

53261 is a wasteful number, since it uses less digits than its factorization.

53261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271.

The product of its digits is 180, while the sum is 17.

The square root of 53261 is about 230.7834482800. The cubic root of 53261 is about 37.6244163881.

Adding to 53261 its reverse (16235), we get a palindrome (69496).

The spelling of 53261 in words is "fifty-three thousand, two hundred sixty-one".