5813523 has 24 divisors (see below), whose sum is σ = 8825856. Its totient is φ = 3682800.

The previous prime is 5813443. The next prime is 5813527. The reversal of 5813523 is 3253185.

5813523 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5813523 - 2¹⁴ = 5797139 is a prime.

5813523 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (5813527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18538 + ... + 18848.

It is an arithmetic number, because the mean of its divisors is an integer number (367744).

Almost surely, 2^5813523 is an apocalyptic number.

5813523 is a deficient number, since it is larger than the sum of its proper divisors (3012333).

5813523 is a wasteful number, since it uses less digits than its factorization.

5813523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 412 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 5813523 is about 2411.1248412307. The cubic root of 5813523 is about 179.8097063022.

It can be divided in two parts, 5813 and 523, that added together give a palindrome (6336).

The spelling of 5813523 in words is "five million, eight hundred thirteen thousand, five hundred twenty-three".