509159167 has 12 divisors (see below), whose sum is σ = 561669640. Its totient is φ = 461205360.

The previous prime is 509159153. The next prime is 509159237. The reversal of 509159167 is 761951905.

It is not a de Polignac number, because 509159167 - 2⁷ = 509159039 is a prime.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509159767) 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 in 11 ways as a sum of consecutive naturals, for example, 26809 + ... + 41677.

Almost surely, 2^509159167 is an apocalyptic number.

509159167 is a deficient number, since it is larger than the sum of its proper divisors (52510473).

509159167 is a wasteful number, since it uses less digits than its factorization.

509159167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15174 (or 15163 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 43.

The square root of 509159167 is about 22564.5555462544. Note that the first 4 decimals coincide. The cubic root of 509159167 is about 798.5176544904.

The spelling of 509159167 in words is "five hundred nine million, one hundred fifty-nine thousand, one hundred sixty-seven".