506938509 has 48 divisors (see below), whose sum is σ = 925876224. Its totient is φ = 259610400.

The previous prime is 506938507. The next prime is 506938529. The reversal of 506938509 is 905839605.

506938509 is a `hidden beast` number, since 50 + 6 + 93 + 8 + 509 = 666.

It is not a de Polignac number, because 506938509 - 2¹ = 506938507 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506938507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44052 + ... + 54354.

It is an arithmetic number, because the mean of its divisors is an integer number (19289088).

Almost surely, 2^506938509 is an apocalyptic number.

It is an amenable number.

506938509 is a deficient number, since it is larger than the sum of its proper divisors (418937715).

506938509 is a wasteful number, since it uses less digits than its factorization.

506938509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10398 (or 10395 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 506938509 is about 22515.2950013985. The cubic root of 506938509 is about 797.3550718517.

The spelling of 506938509 in words is "five hundred six million, nine hundred thirty-eight thousand, five hundred nine".