506006060509 has 8 divisors (see below), whose sum is σ = 506362744440. Its totient is φ = 505649452800.

The previous prime is 506006060467. The next prime is 506006060519. The reversal of 506006060509 is 905060600605.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 429817916025 + 76188144484 = 655605^2 + 276022^2 .

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 506006060509 - 2⁷ = 506006060381 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 (506006060519) 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, 20827449 + ... + 20851729.

It is an arithmetic number, because the mean of its divisors is an integer number (63295343055).

Almost surely, 2^506006060509 is an apocalyptic number.

It is an amenable number.

506006060509 is a deficient number, since it is larger than the sum of its proper divisors (356683931).

506006060509 is a wasteful number, since it uses less digits than its factorization.

506006060509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38111.

The product of its (nonzero) digits is 48600, while the sum is 37.

The spelling of 506006060509 in words is "five hundred six billion, six million, sixty thousand, five hundred nine".