56001 has 8 divisors (see below), whose sum is σ = 81504. Its totient is φ = 33920.

The previous prime is 55997. The next prime is 56003. The reversal of 56001 is 10065.

Added to its reverse (10065) it gives a triangular number (66066 = T₃₆₃).

56001 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is not a de Polignac number, because 56001 - 2² = 55997 is a prime.

It is a super-2 number, since 2×56001² = 6272224002, which contains 22 as substring.

It is a plaindrome in base 6.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (56003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 816 + ... + 881.

It is an arithmetic number, because the mean of its divisors is an integer number (10188).

2⁵⁶⁰⁰¹ is an apocalyptic number.

It is an amenable number.

56001 is a deficient number, since it is larger than the sum of its proper divisors (25503).

56001 is a wasteful number, since it uses less digits than its factorization.

56001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1711.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 56001 is about 236.6453042002. The cubic root of 56001 is about 38.2588513840.

Adding to 56001 its reverse (10065), we get a palindrome (66066).

It can be divided in two parts, 5 and 6001, that added together give a palindrome (6006).

The spelling of 56001 in words is "fifty-six thousand, one".