506115009 has 9 divisors (see below), whose sum is σ = 731152513. Its totient is φ = 337365012.

The previous prime is 506114957. The next prime is 506115019. The reversal of 506115009 is 900511605.

The square root of 506115009 is 22497.

It is a perfect power (a square), and thus also a powerful number.

506115009 is a `hidden beast` number, since 506 + 1 + 150 + 0 + 9 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 506115009 - 2¹¹ = 506112961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (506115019) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 63742 + ... + 71240.

Almost surely, 2^506115009 is an apocalyptic number.

506115009 is the 22497-th square number.

506115009 is the 11249-th centered octagonal number.

It is an amenable number.

506115009 is a deficient number, since it is larger than the sum of its proper divisors (225037504).

506115009 is an frugal number, since it uses more digits than its factorization.

506115009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15004 (or 7502 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The cubic root of 506115009 is about 796.9230814079.

The spelling of 506115009 in words is "five hundred six million, one hundred fifteen thousand, nine".