52801 has 8 divisors (see below), whose sum is σ = 63680. Its totient is φ = 42768.

The previous prime is 52783. The next prime is 52807. The reversal of 52801 is 10825.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 5-Lehmer number, since φ(52801) divides (52801-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 52801 - 2⁵ = 52769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52807) 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 7 ways as a sum of consecutive naturals, for example, 66 + ... + 331.

It is an arithmetic number, because the mean of its divisors is an integer number (7960).

2⁵²⁸⁰¹ is an apocalyptic number.

52801 is the 133-rd octagonal number.

It is an amenable number.

52801 is a deficient number, since it is larger than the sum of its proper divisors (10879).

52801 is a wasteful number, since it uses less digits than its factorization.

52801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423.

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 52801 is about 229.7846818219. The cubic root of 52801 is about 37.5157859464.

The spelling of 52801 in words is "fifty-two thousand, eight hundred one".