1000564205 has 32 divisors (see below), whose sum is σ = 1266693120. Its totient is φ = 757854720.

The previous prime is 1000564133. The next prime is 1000564231. The reversal of 1000564205 is 5024650001.

It is a de Polignac number, because none of the positive numbers 2^k-1000564205 is a prime.

It is a super-2 number, since 2×1000564205² = 2002257456654564050, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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, 1965491 + ... + 1965999.

It is an arithmetic number, because the mean of its divisors is an integer number (39584160).

Almost surely, 2^1000564205 is an apocalyptic number.

It is an amenable number.

1000564205 is a deficient number, since it is larger than the sum of its proper divisors (266128915).

1000564205 is a wasteful number, since it uses less digits than its factorization.

1000564205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821.

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 1000564205 is about 31631.6962080758. The cubic root of 1000564205 is about 1000.1880329747.

The spelling of 1000564205 in words is "one billion, five hundred sixty-four thousand, two hundred five".