506005525643136 has 32 divisors (see below), whose sum is σ = 1344077177490600. Its totient is φ = 168668508547584.

The previous prime is 506005525643071. The next prime is 506005525643173. The reversal of 506005525643136 is 631346525500605.

It is a tau number, because it is divible by the number of its divisors (32).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 658861361131 + ... + 658861361898.

Almost surely, 2^{506005525643136} is an apocalyptic number.

It is an amenable number.

506005525643136 is an abundant number, since it is smaller than the sum of its proper divisors (838071651847464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

506005525643136 is a wasteful number, since it uses less digits than its factorization.

506005525643136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317722723046 (or 1317722723034 counting only the distinct ones).

The product of its (nonzero) digits is 9720000, while the sum is 51.

The spelling of 506005525643136 in words is "five hundred six trillion, five billion, five hundred twenty-five million, six hundred forty-three thousand, one hundred thirty-six".