1006065441 has 24 divisors (see below), whose sum is σ = 1511473600. Its totient is φ = 668732112.

The previous prime is 1006065439. The next prime is 1006065469. The reversal of 1006065441 is 1445606001.

1006065441 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 0 + 654 + 4 + 1 = 666.

It is not a de Polignac number, because 1006065441 - 2¹ = 1006065439 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1006060441) 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 23 ways as a sum of consecutive naturals, for example, 78876 + ... + 90738.

Almost surely, 2^1006065441 is an apocalyptic number.

It is an amenable number.

1006065441 is a deficient number, since it is larger than the sum of its proper divisors (505408159).

1006065441 is an equidigital number, since it uses as much as digits as its factorization.

1006065441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12227 (or 12215 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1006065441 is about 31718.5346603528. The cubic root of 1006065441 is about 1002.0177396551.

The spelling of 1006065441 in words is "one billion, six million, sixty-five thousand, four hundred forty-one".