1006534305 has 24 divisors (see below), whose sum is σ = 1993897152. Its totient is φ = 460129824.

The previous prime is 1006534271. The next prime is 1006534307. The reversal of 1006534305 is 5034356001.

1006534305 is a `hidden beast` number, since 1 + 0 + 0 + 653 + 4 + 3 + 0 + 5 = 666.

It is not a de Polignac number, because 1006534305 - 2⁸ = 1006534049 is a prime.

It is a super-2 number, since 2×1006534305² = 2026222614283666050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1006534307) 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, 1597359 + ... + 1597988.

It is an arithmetic number, because the mean of its divisors is an integer number (83079048).

Almost surely, 2^1006534305 is an apocalyptic number.

1006534305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1006534305 is a deficient number, since it is larger than the sum of its proper divisors (987362847).

1006534305 is a wasteful number, since it uses less digits than its factorization.

1006534305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3195365 (or 3195362 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 1006534305 is about 31725.9248092156. The cubic root of 1006534305 is about 1002.1733746871.

The spelling of 1006534305 in words is "one billion, six million, five hundred thirty-four thousand, three hundred five".