1111005610506 has 96 divisors (see below), whose sum is σ = 2638788010560. Its totient is φ = 335034585600.

The previous prime is 1111005610493. The next prime is 1111005610513. The reversal of 1111005610506 is 6050165001111.

1111005610506 is a `hidden beast` number, since 1 + 1 + 1 + 100 + 56 + 1 + 0 + 506 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1111005610506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34104466 + ... + 34137026.

It is an arithmetic number, because the mean of its divisors is an integer number (27487375110).

Almost surely, 2^{1111005610506} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1111005610506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319394005280).

1111005610506 is an abundant number, since it is smaller than the sum of its proper divisors (1527782400054).

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

1111005610506 is a wasteful number, since it uses less digits than its factorization.

1111005610506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33412 (or 33409 counting only the distinct ones).

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

The spelling of 1111005610506 in words is "one trillion, one hundred eleven billion, five million, six hundred ten thousand, five hundred six".