506010011105 has 8 divisors (see below), whose sum is σ = 607564439232. Its totient is φ = 404573058288.

The previous prime is 506010011081. The next prime is 506010011113. The reversal of 506010011105 is 501110010605.

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 506010011105 - 2¹⁸ = 506009748961 is a prime.

It is a super-2 number, since 2×506010011105² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29359349 + ... + 29376578.

It is an arithmetic number, because the mean of its divisors is an integer number (75945554904).

Almost surely, 2^506010011105 is an apocalyptic number.

It is an amenable number.

506010011105 is a deficient number, since it is larger than the sum of its proper divisors (101554428127).

506010011105 is a wasteful number, since it uses less digits than its factorization.

506010011105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58737655.

The product of its (nonzero) digits is 150, while the sum is 20.

The spelling of 506010011105 in words is "five hundred six billion, ten million, eleven thousand, one hundred five".