506635946511 has 8 divisors (see below), whose sum is σ = 675625124400. Its totient is φ = 337702033152.

The previous prime is 506635946501. The next prime is 506635946543. The reversal of 506635946511 is 115649536605.

It is a happy number.

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

It is not a de Polignac number, because 506635946511 - 2³⁰ = 505562204687 is a prime.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506635946501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13794736 + ... + 13831413.

It is an arithmetic number, because the mean of its divisors is an integer number (84453140550).

Almost surely, 2^506635946511 is an apocalyptic number.

506635946511 is a deficient number, since it is larger than the sum of its proper divisors (168989177889).

506635946511 is a wasteful number, since it uses less digits than its factorization.

506635946511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27632265.

The product of its (nonzero) digits is 2916000, while the sum is 51.

The spelling of 506635946511 in words is "five hundred six billion, six hundred thirty-five million, nine hundred forty-six thousand, five hundred eleven".