506005132105367 has 16 divisors (see below), whose sum is σ = 511670440519680. Its totient is φ = 500354486280000.

The previous prime is 506005132105349. The next prime is 506005132105381. The reversal of 506005132105367 is 763501231500605.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-506005132105367 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 (506005132105327) 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 15 ways as a sum of consecutive naturals, for example, 550990742 + ... + 551908332.

It is an arithmetic number, because the mean of its divisors is an integer number (31979402532480).

Almost surely, 2^{506005132105367} is an apocalyptic number.

506005132105367 is a deficient number, since it is larger than the sum of its proper divisors (5665308414313).

506005132105367 is a wasteful number, since it uses less digits than its factorization.

506005132105367 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925574.

The product of its (nonzero) digits is 567000, while the sum is 44.

The spelling of 506005132105367 in words is "five hundred six trillion, five billion, one hundred thirty-two million, one hundred five thousand, three hundred sixty-seven".