5213120 has 56 divisors (see below), whose sum is σ = 13551408. Its totient is φ = 1894400.

The previous prime is 5213119. The next prime is 5213129. The reversal of 5213120 is 213125.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5213095 and 5213104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5213129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2780 + ... + 4260.

Almost surely, 2^5213120 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 5213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6775704).

5213120 is an abundant number, since it is smaller than the sum of its proper divisors (8338288).

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

5213120 is a wasteful number, since it uses less digits than its factorization.

5213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 5213120 is about 2283.2257882216. The cubic root of 5213120 is about 173.3934045571.

Adding to 5213120 its reverse (213125), we get a palindrome (5426245).

The spelling of 5213120 in words is "five million, two hundred thirteen thousand, one hundred twenty".