52001 has 4 divisors (see below), whose sum is σ = 52500. Its totient is φ = 51504.

The previous prime is 51991. The next prime is 52009. The reversal of 52001 is 10025.

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.

It can be written as a sum of positive squares in 2 ways, for example, as 21025 + 30976 = 145^2 + 176^2 .

It is a cyclic number.

It is not a de Polignac number, because 52001 - 2¹⁴ = 35617 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 52001.

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 52001.

It is not an unprimeable number, because it can be changed into a prime (52009) 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 3 ways as a sum of consecutive naturals, for example, 26 + ... + 323.

It is an arithmetic number, because the mean of its divisors is an integer number (13125).

2⁵²⁰⁰¹ is an apocalyptic number.

It is an amenable number.

52001 is a deficient number, since it is larger than the sum of its proper divisors (499).

52001 is a wasteful number, since it uses less digits than its factorization.

52001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498.

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

The square root of 52001 is about 228.0372776543. The cubic root of 52001 is about 37.3253508302.

Adding to 52001 its reverse (10025), we get a palindrome (62026).

The spelling of 52001 in words is "fifty-two thousand, one".