506512217105 has 32 divisors (see below), whose sum is σ = 622171756800. Its totient is φ = 395712608512.

The previous prime is 506512217047. The next prime is 506512217111. The reversal of 506512217105 is 501712215605.

It is a cyclic number.

It is not a de Polignac number, because 506512217105 - 2³⁴ = 489332347921 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94022222 + ... + 94027608.

It is an arithmetic number, because the mean of its divisors is an integer number (19442867400).

Almost surely, 2^506512217105 is an apocalyptic number.

It is an amenable number.

506512217105 is a deficient number, since it is larger than the sum of its proper divisors (115659539695).

506512217105 is a wasteful number, since it uses less digits than its factorization.

506512217105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7033.

The product of its (nonzero) digits is 21000, while the sum is 35.

The spelling of 506512217105 in words is "five hundred six billion, five hundred twelve million, two hundred seventeen thousand, one hundred five".