5509152 has 144 divisors (see below), whose sum is σ = 17926272. Its totient is φ = 1589760.

The previous prime is 5509151. The next prime is 5509177. The reversal of 5509152 is 2519055.

5509152 is a `hidden beast` number, since 5 + 509 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (5509151) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 117193 + ... + 117239.

It is an arithmetic number, because the mean of its divisors is an integer number (124488).

Almost surely, 2^5509152 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 5509152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8963136).

5509152 is an abundant number, since it is smaller than the sum of its proper divisors (12417120).

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

5509152 is a wasteful number, since it uses less digits than its factorization.

5509152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The square root of 5509152 is about 2347.1582818378. The cubic root of 5509152 is about 176.6152708371.

The spelling of 5509152 in words is "five million, five hundred nine thousand, one hundred fifty-two".