1006643205 has 48 divisors (see below), whose sum is σ = 1780746240. Its totient is φ = 525947904.

The previous prime is 1006643203. The next prime is 1006643233. The reversal of 1006643205 is 5023466001.

1006643205 is a `hidden beast` number, since 10 + 0 + 6 + 643 + 2 + 0 + 5 = 666.

It is not a de Polignac number, because 1006643205 - 2¹ = 1006643203 is a prime.

It is a Curzon number.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006643203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 448476 + ... + 450714.

It is an arithmetic number, because the mean of its divisors is an integer number (37098880).

Almost surely, 2^1006643205 is an apocalyptic number.

1006643205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1006643205 is a deficient number, since it is larger than the sum of its proper divisors (774103035).

1006643205 is a wasteful number, since it uses less digits than its factorization.

1006643205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2450 (or 2447 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1006643205 is about 31727.6410248225. The cubic root of 1006643205 is about 1002.2095161096.

The spelling of 1006643205 in words is "one billion, six million, six hundred forty-three thousand, two hundred five".