501105611106 has 80 divisors (see below), whose sum is σ = 1131035609088. Its totient is φ = 165818664000.

The previous prime is 501105611059. The next prime is 501105611107. The reversal of 501105611106 is 601116501105.

501105611106 is a `hidden beast` number, since 501 + 1 + 0 + 56 + 1 + 1 + 106 = 666.

It is a super-2 number, since 2×501105611106² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 501105611106.

It is not an unprimeable number, because it can be changed into a prime (501105611107) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42093151 + ... + 42105053.

Almost surely, 2^501105611106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 501105611106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565517804544).

501105611106 is an abundant number, since it is smaller than the sum of its proper divisors (629929997982).

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

501105611106 is a wasteful number, since it uses less digits than its factorization.

501105611106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13789 (or 13780 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 501105611106 in words is "five hundred one billion, one hundred five million, six hundred eleven thousand, one hundred six".