53001 has 16 divisors (see below), whose sum is σ = 85120. Its totient is φ = 32400.

The previous prime is 52999. The next prime is 53003. The reversal of 53001 is 10035.

53001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52999) and next prime (53003).

It is not a de Polignac number, because 53001 - 2¹ = 52999 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 an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 53001.

It is not an unprimeable number, because it can be changed into a prime (53003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276 + ... + 426.

It is an arithmetic number, because the mean of its divisors is an integer number (5320).

2⁵³⁰⁰¹ is an apocalyptic number.

It is an amenable number.

53001 is a deficient number, since it is larger than the sum of its proper divisors (32119).

53001 is a wasteful number, since it uses less digits than its factorization.

53001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 167 counting only the distinct ones).

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

The square root of 53001 is about 230.2194605154. The cubic root of 53001 is about 37.5630937851.

Adding to 53001 its reverse (10035), we get a palindrome (63036).

The spelling of 53001 in words is "fifty-three thousand, one".