1006009605564 has 48 divisors (see below), whose sum is σ = 2450185398528. Its totient is φ = 320655760128.

The previous prime is 1006009605551. The next prime is 1006009605593. The reversal of 1006009605564 is 4655069006001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307764 + ... + 1451460.

It is an arithmetic number, because the mean of its divisors is an integer number (51045529136).

Almost surely, 2^{1006009605564} is an apocalyptic number.

It is an amenable number.

1006009605564 is an abundant number, since it is smaller than the sum of its proper divisors (1444175792964).

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

1006009605564 is a wasteful number, since it uses less digits than its factorization.

1006009605564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146914 (or 1146912 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 1006009605564 in words is "one trillion, six billion, nine million, six hundred five thousand, five hundred sixty-four".