5313120 has 48 divisors (see below), whose sum is σ = 16737840. Its totient is φ = 1416704.

The previous prime is 5313107. The next prime is 5313131. The reversal of 5313120 is 213135.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 5313120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5055 + ... + 6014.

It is an arithmetic number, because the mean of its divisors is an integer number (348705).

Almost surely, 2^5313120 is an apocalyptic number.

It is an amenable number.

5313120 is an abundant number, since it is smaller than the sum of its proper divisors (11424720).

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

5313120 is a wasteful number, since it uses less digits than its factorization.

5313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11087 (or 11079 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 5313120 is about 2305.0206072832. The cubic root of 5313120 is about 174.4950888457.

Adding to 5313120 its sum of digits (15), we get a palindrome (5313135).

Adding to 5313120 its reverse (213135), we get a palindrome (5526255).

The spelling of 5313120 in words is "five million, three hundred thirteen thousand, one hundred twenty".