5201 has 4 divisors (see below), whose sum is σ = 5952. Its totient is φ = 4452.

The previous prime is 5197. The next prime is 5209. The reversal of 5201 is 1025.

5201 = T₃₅ + T₃₆ + ... + T₄₁.

5201 is nontrivially palindromic in base 8.

5201 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

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 not a de Polignac number, because 5201 - 2² = 5197 is a prime.

It is a Duffinian number.

5201 is an undulating number in base 8.

It is a nialpdrome in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 5201.

It is not an unprimeable number, because it can be changed into a prime (5209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 365 + ... + 378.

It is an arithmetic number, because the mean of its divisors is an integer number (1488).

2⁵²⁰¹ is an apocalyptic number.

It is an amenable number.

5201 is a deficient number, since it is larger than the sum of its proper divisors (751).

5201 is an equidigital number, since it uses as much as digits as its factorization.

5201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750.

The product of its (nonzero) digits is 10, while the sum is 8.

The square root of 5201 is about 72.1179589284. The cubic root of 5201 is about 17.3258925986.

Adding to 5201 its reverse (1025), we get a palindrome (6226).

The spelling of 5201 in words is "five thousand, two hundred one".