5313024 has 60 divisors (see below), whose sum is σ = 15347046. Its totient is φ = 1769472.

The previous prime is 5312999. The next prime is 5313041. The reversal of 5313024 is 4203135.

It is a Cunningham number, because it is equal to 2305²-1.

It can be written as a sum of positive squares in only one way, i.e., 3873024 + 1440000 = 1968^2 + 1200^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5312988 and 5313006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4032 + ... + 5184.

Almost surely, 2^5313024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5313024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7673523).

5313024 is an abundant number, since it is smaller than the sum of its proper divisors (10034022).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5313024 is a wasteful number, since it uses less digits than its factorization.

5313024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 5313024 is about 2304.9997830803. Note that the first 3 decimals coincide. The cubic root of 5313024 is about 174.4940378857.

Adding to 5313024 its reverse (4203135), we get a palindrome (9516159).

The spelling of 5313024 in words is "five million, three hundred thirteen thousand, twenty-four".