5301 has 12 divisors (see below), whose sum is σ = 8320. Its totient is φ = 3240.

The previous prime is 5297. The next prime is 5303. The reversal of 5301 is 1035.

5301 is nontrivially palindromic in base 7.

It is not a de Polignac number, because 5301 - 2² = 5297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 5301.

It is not an unprimeable number, because it can be changed into a prime (5303) 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 11 ways as a sum of consecutive naturals, for example, 156 + ... + 186.

2⁵³⁰¹ is an apocalyptic number.

It is an amenable number.

5301 is a deficient number, since it is larger than the sum of its proper divisors (3019).

5301 is a wasteful number, since it uses less digits than its factorization.

5301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 5301 is about 72.8079665971. The cubic root of 5301 is about 17.4362304930.

Adding to 5301 its reverse (1035), we get a palindrome (6336).

The spelling of 5301 in words is "five thousand, three hundred one".