1009041075 has 108 divisors (see below), whose sum is σ = 2213485560. Its totient is φ = 436907520.

The previous prime is 1009040959. The next prime is 1009041107. The reversal of 1009041075 is 5701409001.

It is not a de Polignac number, because 1009041075 - 2⁹ = 1009040563 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 207067 + ... + 211883.

Almost surely, 2^1009041075 is an apocalyptic number.

1009041075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1009041075 is an abundant number, since it is smaller than the sum of its proper divisors (1204444485).

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

1009041075 is a wasteful number, since it uses less digits than its factorization.

1009041075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4866 (or 4851 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 1009041075 is about 31765.4068917746. The cubic root of 1009041075 is about 1003.0046546750.

The spelling of 1009041075 in words is "one billion, nine million, forty-one thousand, seventy-five".