5509120 has 52 divisors (see below), whose sum is σ = 13269420. Its totient is φ = 2195456.

The previous prime is 5509111. The next prime is 5509151. The reversal of 5509120 is 219055.

It can be written as a sum of positive squares in 2 ways, for example, as 1048576 + 4460544 = 1024^2 + 2112^2 .

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 5509091 and 5509100.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20346 + ... + 20614.

Almost surely, 2^5509120 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 5509120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6634710).

5509120 is an abundant number, since it is smaller than the sum of its proper divisors (7760300).

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

5509120 is an equidigital number, since it uses as much as digits as its factorization.

5509120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 22.

The square root of 5509120 is about 2347.1514650742. The cubic root of 5509120 is about 176.6149288789.

The spelling of 5509120 in words is "five million, five hundred nine thousand, one hundred twenty".