6580161 has 36 divisors (see below), whose sum is σ = 11346192. Its totient is φ = 3662064.

The previous prime is 6580159. The next prime is 6580163. The reversal of 6580161 is 1610856.

6580161 is a `hidden beast` number, since 658 + 0 + 1 + 6 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (6580159) and next prime (6580163).

It is not a de Polignac number, because 6580161 - 2¹ = 6580159 is a prime.

6580161 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (6580163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18790 + ... + 19136.

It is an arithmetic number, because the mean of its divisors is an integer number (315172).

Almost surely, 2^6580161 is an apocalyptic number.

It is an amenable number.

6580161 is a deficient number, since it is larger than the sum of its proper divisors (4766031).

6580161 is a wasteful number, since it uses less digits than its factorization.

6580161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 6580161 is about 2565.1824496515. The cubic root of 6580161 is about 187.3896096873.

The spelling of 6580161 in words is "six million, five hundred eighty thousand, one hundred sixty-one".