5235813 has 48 divisors (see below), whose sum is σ = 9136320. Its totient is φ = 2937600.

The previous prime is 5235803. The next prime is 5235827. The reversal of 5235813 is 3185325.

It is not a de Polignac number, because 5235813 - 2⁶ = 5235749 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5235803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85803 + ... + 85863.

It is an arithmetic number, because the mean of its divisors is an integer number (190340).

Almost surely, 2^5235813 is an apocalyptic number.

It is an amenable number.

5235813 is a deficient number, since it is larger than the sum of its proper divisors (3900507).

5235813 is a wasteful number, since it uses less digits than its factorization.

5235813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 92 counting only the distinct ones).

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

The square root of 5235813 is about 2288.1898959658. The cubic root of 5235813 is about 173.6446373956.

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

The spelling of 5235813 in words is "five million, two hundred thirty-five thousand, eight hundred thirteen".