56301 has 12 divisors (see below), whose sum is σ = 87552. Its totient is φ = 32088.

The previous prime is 56299. The next prime is 56311. The reversal of 56301 is 10365.

It is not a de Polignac number, because 56301 - 2¹ = 56299 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45 + ... + 338.

It is an arithmetic number, because the mean of its divisors is an integer number (7296).

2⁵⁶³⁰¹ is an apocalyptic number.

It is an amenable number.

56301 is a deficient number, since it is larger than the sum of its proper divisors (31251).

56301 is a wasteful number, since it uses less digits than its factorization.

56301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 56301 is about 237.2783175935. The cubic root of 56301 is about 38.3270479087.

Adding to 56301 its reverse (10365), we get a palindrome (66666).

The spelling of 56301 in words is "fifty-six thousand, three hundred one".