506105010005 has 8 divisors (see below), whose sum is σ = 694086870912. Its totient is φ = 347043435408.

The previous prime is 506105009939. The next prime is 506105010011. The reversal of 506105010005 is 500010501605.

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 506105010005 - 2²⁴ = 506088232789 is a prime.

It is a super-2 number, since 2×506105010005² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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, 7230071537 + ... + 7230071606.

It is an arithmetic number, because the mean of its divisors is an integer number (86760858864).

Almost surely, 2^506105010005 is an apocalyptic number.

It is an amenable number.

506105010005 is a deficient number, since it is larger than the sum of its proper divisors (187981860907).

506105010005 is a wasteful number, since it uses less digits than its factorization.

506105010005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14460143155.

The product of its (nonzero) digits is 750, while the sum is 23.

The spelling of 506105010005 in words is "five hundred six billion, one hundred five million, ten thousand, five".