56313 has 6 divisors (see below), whose sum is σ = 81354. Its totient is φ = 37536.

The previous prime is 56311. The next prime is 56333. The reversal of 56313 is 31365.

56313 = 32² + 33² + ... + 58².

It can be written as a sum of positive squares in only one way, i.e., 56169 + 144 = 237^2 + 12^2 .

It is not a de Polignac number, because 56313 - 2¹ = 56311 is a prime.

It is an Ulam number.

56313 is a lucky number.

It is a nialpdrome in base 9.

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 5 ways as a sum of consecutive naturals, for example, 3120 + ... + 3137.

It is an arithmetic number, because the mean of its divisors is an integer number (13559).

2⁵⁶³¹³ is an apocalyptic number.

It is an amenable number.

56313 is a deficient number, since it is larger than the sum of its proper divisors (25041).

56313 is a wasteful number, since it uses less digits than its factorization.

56313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6263 (or 6260 counting only the distinct ones).

The product of its digits is 270, while the sum is 18.

The square root of 56313 is about 237.3036030068. The cubic root of 56313 is about 38.3297707254.

Adding to 56313 its reverse (31365), we get a palindrome (87678).

It can be divided in two parts, 563 and 13, that added together give a square (576 = 24²).

The spelling of 56313 in words is "fifty-six thousand, three hundred thirteen".