5010 has 16 divisors (see below), whose sum is σ = 12096. Its totient is φ = 1328.

The previous prime is 5009. The next prime is 5011. The reversal of 5010 is 105.

5010 is nontrivially palindromic in base 9.

It is an interprime number because it is at equal distance from previous prime (5009) and next prime (5011).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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

It is a self number, because there is not a number *n* which added to its sum of digits gives 5010.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54 + ... + 113.

It is an arithmetic number, because the mean of its divisors is an integer number (756).

2^{5010} is an apocalyptic number.

5010 is an abundant number, since it is smaller than the sum of its proper divisors (7086).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048).

5010 is a wasteful number, since it uses less digits than its factorization.

5010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177.

The product of its (nonzero) digits is 5, while the sum is 6.

The square root of 5010 is about 70.7813534767. The cubic root of 5010 is about 17.1111517150. Note that the first 4 decimals are identical.

Adding to 5010 its reverse (105), we get a palindrome (5115).

The spelling of 5010 in words is "five thousand, ten".

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