506501567 has 16 divisors (see below), whose sum is σ = 600959520. Its totient is φ = 420816000.

The previous prime is 506501551. The next prime is 506501579. The reversal of 506501567 is 765105605.

It is not a de Polignac number, because 506501567 - 2⁴ = 506501551 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 (506501507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3092 + ... + 31977.

It is an arithmetic number, because the mean of its divisors is an integer number (37559970).

Almost surely, 2^506501567 is an apocalyptic number.

506501567 is a deficient number, since it is larger than the sum of its proper divisors (94457953).

506501567 is a wasteful number, since it uses less digits than its factorization.

506501567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35194.

The product of its (nonzero) digits is 31500, while the sum is 35.

The square root of 506501567 is about 22505.5896834542. The cubic root of 506501567 is about 797.1259197560.

The spelling of 506501567 in words is "five hundred six million, five hundred one thousand, five hundred sixty-seven".