52041 has 16 divisors (see below), whose sum is σ = 80640. Its totient is φ = 29520.

The previous prime is 52027. The next prime is 52051. The reversal of 52041 is 14025.

Added to its reverse (14025) it gives a triangular number (66066 = T₃₆₃).

52041 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 52041 - 2⁵ = 52009 is a prime.

52041 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (52021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 586 + ... + 668.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

2⁵²⁰⁴¹ is an apocalyptic number.

It is an amenable number.

52041 is a deficient number, since it is larger than the sum of its proper divisors (28599).

52041 is a wasteful number, since it uses less digits than its factorization.

52041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116.

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 52041 is about 228.1249657534. The cubic root of 52041 is about 37.3349187960.

Adding to 52041 its reverse (14025), we get a palindrome (66066).

It can be divided in two parts, 520 and 41, that added together give a triangular number (561 = T₃₃).

The spelling of 52041 in words is "fifty-two thousand, forty-one".