506261167 has 2 divisors, whose sum is σ = 506261168. Its totient is φ = 506261166.

The previous prime is 506261089. The next prime is 506261177. The reversal of 506261167 is 761162605.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 506261167 - 2¹⁹ = 505736879 is a prime.

It is a super-3 number, since 3×506261167³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (506261177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253130583 + 253130584.

It is an arithmetic number, because the mean of its divisors is an integer number (253130584).

Almost surely, 2^506261167 is an apocalyptic number.

506261167 is a deficient number, since it is larger than the sum of its proper divisors (1).

506261167 is an equidigital number, since it uses as much as digits as its factorization.

506261167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 506261167 is about 22500.2481541871. The cubic root of 506261167 is about 796.9997869467. Note that the first 3 decimals are identical.

The spelling of 506261167 in words is "five hundred six million, two hundred sixty-one thousand, one hundred sixty-seven".