5005301 has 6 divisors (see below), whose sum is σ = 5822550. Its totient is φ = 4290216.

The previous prime is 5005289. The next prime is 5005307. The reversal of 5005301 is 1035005.

It can be written as a sum of positive squares in only one way, i.e., 3236401 + 1768900 = 1799^2 + 1330^2 .

It is not a de Polignac number, because 5005301 - 2¹⁴ = 4988917 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005307) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51026 + ... + 51123.

It is an arithmetic number, because the mean of its divisors is an integer number (970425).

Almost surely, 2^5005301 is an apocalyptic number.

It is an amenable number.

5005301 is a deficient number, since it is larger than the sum of its proper divisors (817249).

5005301 is a wasteful number, since it uses less digits than its factorization.

5005301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102163 (or 102156 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 14.

The square root of 5005301 is about 2237.2530031268. The cubic root of 5005301 is about 171.0580038740.

The spelling of 5005301 in words is "five million, five thousand, three hundred one".