506909009 has 8 divisors (see below), whose sum is σ = 555235560. Its totient is φ = 460638976.

The previous prime is 506908967. The next prime is 506909017. The reversal of 506909009 is 900909605.

It can be written as a sum of positive squares in 4 ways, for example, as 70224400 + 436684609 = 8380^2 + 20897^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 506909009 - 2¹² = 506904913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (506908009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 513614 + ... + 514599.

It is an arithmetic number, because the mean of its divisors is an integer number (69404445).

Almost surely, 2^506909009 is an apocalyptic number.

It is an amenable number.

506909009 is a deficient number, since it is larger than the sum of its proper divisors (48326551).

506909009 is a wasteful number, since it uses less digits than its factorization.

506909009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028259.

The product of its (nonzero) digits is 21870, while the sum is 38.

The square root of 506909009 is about 22514.6398816415. The cubic root of 506909009 is about 797.3396048667.

The spelling of 506909009 in words is "five hundred six million, nine hundred nine thousand, nine".