5013120 has 128 divisors (see below), whose sum is σ = 18311040. Its totient is φ = 1142784.

The previous prime is 5013119. The next prime is 5013133. The reversal of 5013120 is 213105.

It is a Cunningham number, because it is equal to 2239²-1.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 5013096 and 5013105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13254 + ... + 13626.

It is an arithmetic number, because the mean of its divisors is an integer number (143055).

Almost surely, 2^5013120 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 5013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9155520).

5013120 is an abundant number, since it is smaller than the sum of its proper divisors (13297920).

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

5013120 is a wasteful number, since it uses less digits than its factorization.

5013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 5013120 is about 2238.9997766860. Note that the first 3 decimals coincide. The cubic root of 5013120 is about 171.1470299339.

Adding to 5013120 its reverse (213105), we get a palindrome (5226225).

The spelling of 5013120 in words is "five million, thirteen thousand, one hundred twenty".