506541167 has 16 divisors (see below), whose sum is σ = 579571200. Its totient is φ = 438213600.

The previous prime is 506541131. The next prime is 506541169. The reversal of 506541167 is 761145605.

It is not a de Polignac number, because 506541167 - 2⁸ = 506540911 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 (506541169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45317 + ... + 55377.

It is an arithmetic number, because the mean of its divisors is an integer number (36223200).

Almost surely, 2^506541167 is an apocalyptic number.

506541167 is a deficient number, since it is larger than the sum of its proper divisors (73030033).

506541167 is a wasteful number, since it uses less digits than its factorization.

506541167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10294.

The product of its (nonzero) digits is 25200, while the sum is 35.

The square root of 506541167 is about 22506.4694476944. The cubic root of 506541167 is about 797.1466932118.

The spelling of 506541167 in words is "five hundred six million, five hundred forty-one thousand, one hundred sixty-seven".