8009509041 has 32 divisors (see below), whose sum is σ = 11933982720. Its totient is φ = 5309140752.

The previous prime is 8009509021. The next prime is 8009509049. The reversal of 8009509041 is 1409059008.

It is not a de Polignac number, because 8009509041 - 2⁶ = 8009508977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8009508987 and 8009509005.

It is not an unprimeable number, because it can be changed into a prime (8009509049) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6127510 + ... + 6128816.

It is an arithmetic number, because the mean of its divisors is an integer number (372936960).

Almost surely, 2^8009509041 is an apocalyptic number.

It is an amenable number.

8009509041 is a deficient number, since it is larger than the sum of its proper divisors (3924473679).

8009509041 is a wasteful number, since it uses less digits than its factorization.

8009509041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2442 (or 2436 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 8009509041 is about 89495.8604685155. The cubic root of 8009509041 is about 2000.7921063257.

The spelling of 8009509041 in words is "eight billion, nine million, five hundred nine thousand, forty-one".