5180175 has 144 divisors (see below), whose sum is σ = 12999168. Its totient is φ = 1900800.

The previous prime is 5180171. The next prime is 5180213. The reversal of 5180175 is 5710815.

5180175 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 2276²-1.

It is not a de Polignac number, because 5180175 - 2² = 5180171 is a prime.

5180175 is strictly pandigital in base 8.

5180175 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5180171) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 225214 + ... + 225236.

It is an arithmetic number, because the mean of its divisors is an integer number (90272).

Almost surely, 2^5180175 is an apocalyptic number.

5180175 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5180175 is an abundant number, since it is smaller than the sum of its proper divisors (7818993).

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

5180175 is a wasteful number, since it uses less digits than its factorization.

5180175 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

The square root of 5180175 is about 2275.9997803163. Note that the first 3 decimals coincide. The cubic root of 5180175 is about 173.0273715699.

The spelling of 5180175 in words is "five million, one hundred eighty thousand, one hundred seventy-five".