506677509 has 48 divisors (see below), whose sum is σ = 811989360. Its totient is φ = 302515200.

The previous prime is 506677459. The next prime is 506677543. The reversal of 506677509 is 905776605.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 87329025 + 419348484 = 9345^2 + 20478^2 .

It is not a de Polignac number, because 506677509 - 2⁸ = 506677253 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506677559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 625897 + ... + 626705.

It is an arithmetic number, because the mean of its divisors is an integer number (16916445).

Almost surely, 2^506677509 is an apocalyptic number.

It is an amenable number.

506677509 is a deficient number, since it is larger than the sum of its proper divisors (305311851).

506677509 is a wasteful number, since it uses less digits than its factorization.

506677509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 506677509 is about 22509.4981952064. The cubic root of 506677509 is about 797.2182075208.

The spelling of 506677509 in words is "five hundred six million, six hundred seventy-seven thousand, five hundred nine".