506165556105 has 48 divisors (see below), whose sum is σ = 982981007424. Its totient is φ = 238780794240.

The previous prime is 506165556103. The next prime is 506165556121. The reversal of 506165556105 is 501655561605.

It is not a de Polignac number, because 506165556105 - 2¹ = 506165556103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (506165556103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13800019 + ... + 13836648.

It is an arithmetic number, because the mean of its divisors is an integer number (20478770988).

Almost surely, 2^506165556105 is an apocalyptic number.

506165556105 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

506165556105 is a deficient number, since it is larger than the sum of its proper divisors (476815451319).

506165556105 is a wasteful number, since it uses less digits than its factorization.

506165556105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27636726 (or 27636723 counting only the distinct ones).

The product of its (nonzero) digits is 675000, while the sum is 45.

The spelling of 506165556105 in words is "five hundred six billion, one hundred sixty-five million, five hundred fifty-six thousand, one hundred five".