1005055506 has 96 divisors (see below), whose sum is σ = 2764149120. Its totient is φ = 265052736.

The previous prime is 1005055489. The next prime is 1005055529. The reversal of 1005055506 is 6055505001.

1005055506 is a `hidden beast` number, since 100 + 5 + 0 + 5 + 550 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1005055506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56016 + ... + 71748.

It is an arithmetic number, because the mean of its divisors is an integer number (28793220).

Almost surely, 2^1005055506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005055506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382074560).

1005055506 is an abundant number, since it is smaller than the sum of its proper divisors (1759093614).

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

1005055506 is a wasteful number, since it uses less digits than its factorization.

1005055506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15777 (or 15758 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The square root of 1005055506 is about 31702.6103972528. The cubic root of 1005055506 is about 1001.6823368223.

It can be divided in two parts, 10050 and 55506, that added together give a palindrome (65556).

The spelling of 1005055506 in words is "one billion, five million, fifty-five thousand, five hundred six".