5016 has 32 divisors (see below), whose sum is σ = 14400. Its totient is φ = 1440.

The previous prime is 5011. The next prime is 5021. The reversal of 5016 is 6105.

5016 is nontrivially palindromic in base 5.

It is an interprime number because it is at equal distance from previous prime (5011) and next prime (5021).

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

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 4992 and 5010.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 5016.

It is not an unprimeable number, because it can be changed into a prime (5011) by changing a digit.

5016 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255 + ... + 273.

It is an arithmetic number, because the mean of its divisors is an integer number (450).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7200).

5016 is an abundant number, since it is smaller than the sum of its proper divisors (9384).

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

5016 is a wasteful number, since it uses less digits than its factorization.

5016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 35 counting only the distinct ones).

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

The square root of 5016 is about 70.8237248385. The cubic root of 5016 is about 17.1179797890.

Subtracting 5016 from its reverse (6105), we obtain a square (1089 = 33²).

It can be divided in two parts, 50 and 16, that added together give a palindrome (66).

The spelling of 5016 in words is "five thousand, sixteen".