1005005005050 has 48 divisors (see below), whose sum is σ = 2526555075840. Its totient is φ = 264330080640.

The previous prime is 1005005005001. The next prime is 1005005005051. The reversal of 1005005005050 is 505005005001.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1005005005051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45879690 + ... + 45901589.

It is an arithmetic number, because the mean of its divisors is an integer number (52636564080).

Almost surely, 2^{1005005005050} is an apocalyptic number.

1005005005050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1005005005050 is an abundant number, since it is smaller than the sum of its proper divisors (1521550070790).

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

1005005005050 is a wasteful number, since it uses less digits than its factorization.

1005005005050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91781367 (or 91781362 counting only the distinct ones).

The product of its (nonzero) digits is 625, while the sum is 21.

The spelling of 1005005005050 in words is "one trillion, five billion, five million, five thousand, fifty".