5353120 has 24 divisors (see below), whose sum is σ = 12647124. Its totient is φ = 2141184.

The previous prime is 5353109. The next prime is 5353121. The reversal of 5353120 is 213535.

It can be written as a sum of positive squares in 2 ways, for example, as 5253264 + 99856 = 2292^2 + 316^2 .

It is not an unprimeable number, because it can be changed into a prime (5353121) 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, 16569 + ... + 16888.

Almost surely, 2^5353120 is an apocalyptic number.

It is an amenable number.

5353120 is an abundant number, since it is smaller than the sum of its proper divisors (7294004).

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

5353120 is a wasteful number, since it uses less digits than its factorization.

5353120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33472 (or 33464 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 5353120 is about 2313.6810497560. The cubic root of 5353120 is about 174.9318918638.

Adding to 5353120 its reverse (213535), we get a palindrome (5566655).

It can be divided in two parts, 535 and 3120, that added together give a triangular number (3655 = T₈₅).

The spelling of 5353120 in words is "five million, three hundred fifty-three thousand, one hundred twenty".