5285120 has 36 divisors (see below), whose sum is σ = 12662580. Its totient is φ = 2113536.

The previous prime is 5285099. The next prime is 5285129. The reversal of 5285120 is 215825.

5285120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2408704 + 2876416 = 1552^2 + 1696^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5285129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 785 + ... + 3344.

Almost surely, 2^5285120 is an apocalyptic number.

It is an amenable number.

5285120 is an abundant number, since it is smaller than the sum of its proper divisors (7377460).

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

5285120 is an equidigital number, since it uses as much as digits as its factorization.

5285120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4150 (or 4136 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 5285120 is about 2298.9388856601. The cubic root of 5285120 is about 174.1880206515.

The spelling of 5285120 in words is "five million, two hundred eighty-five thousand, one hundred twenty".