1005225124032 has 84 divisors (see below), whose sum is σ = 2951571908376. Its totient is φ = 326902471680.

The previous prime is 1005225124031. The next prime is 1005225124037. The reversal of 1005225124032 is 2304215225001.

1005225124032 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 2 + 251 + 2 + 403 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1005225123987 and 1005225124005.

It is not an unprimeable number, because it can be changed into a prime (1005225124031) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 21259098 + ... + 21306329.

It is an arithmetic number, because the mean of its divisors is an integer number (35137760814).

Almost surely, 2^{1005225124032} is an apocalyptic number.

1005225124032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1005225124032 is an abundant number, since it is smaller than the sum of its proper divisors (1946346784344).

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

1005225124032 is a wasteful number, since it uses less digits than its factorization.

1005225124032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42565486 (or 42565473 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 1005225124032 in words is "one trillion, five billion, two hundred twenty-five million, one hundred twenty-four thousand, thirty-two".