5041 has 3 divisors (see below), whose sum is σ = 5113. Its totient is φ = 4970.

The previous prime is 5039. The next prime is 5051. The reversal of 5041 is 1405.

Adding to 5041 its reverse (1405), we get a palindrome (6446).

It can be divided in two parts, 504 and 1, that added together give a palindrome (505).

5041 = T_{70} + T_{71}.

The square root of 5041 is 71.

It is a perfect power (a square), and thus also a powerful number.

5041 is nontrivially palindromic in base 4.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 1405 = 5 ⋅281.

It is not a de Polignac number, because 5041 - 2^{1} = 5039 is a prime.

It is a Duffinian number.

5041 is a lucky number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (5011) 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 2 ways as a sum of consecutive naturals, for example, 36 + ... + 106.

5041 is the 71-st square number.

5041 is the 36-th centered octagonal number.

It is an amenable number.

5041 is a deficient number, since it is larger than the sum of its proper divisors (72).

5041 is an frugal number, since it uses more digits than its factorization.

5041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The cubic root of 5041 is about 17.1463716339.

The spelling of 5041 in words is "five thousand, forty-one".

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