5109584 has 20 divisors (see below), whose sum is σ = 10142580. Its totient is φ = 2492160.

The previous prime is 5109583. The next prime is 5109617. The reversal of 5109584 is 4859015.

It can be written as a sum of positive squares in 2 ways, for example, as 1392400 + 3717184 = 1180^2 + 1928^2 .

It is a super-2 number, since 2×5109584² = 52215697306112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5109584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5109583) 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 3 ways as a sum of consecutive naturals, for example, 3239 + ... + 4550.

It is an arithmetic number, because the mean of its divisors is an integer number (507129).

Almost surely, 2^5109584 is an apocalyptic number.

It is an amenable number.

5109584 is a deficient number, since it is larger than the sum of its proper divisors (5032996).

5109584 is a wasteful number, since it uses less digits than its factorization.

5109584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7838 (or 7832 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 32.

The square root of 5109584 is about 2260.4388954360. The cubic root of 5109584 is about 172.2378177730.

The spelling of 5109584 in words is "five million, one hundred nine thousand, five hundred eighty-four".