2005567201 has 16 divisors (see below), whose sum is σ = 2213706816. Its totient is φ = 1801800000.

The previous prime is 2005567183. The next prime is 2005567217. The reversal of 2005567201 is 1027655002.

It is not a de Polignac number, because 2005567201 - 2¹⁷ = 2005436129 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2005567201.

It is not an unprimeable number, because it can be changed into a prime (2005567241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 733006 + ... + 735736.

It is an arithmetic number, because the mean of its divisors is an integer number (138356676).

Almost surely, 2^2005567201 is an apocalyptic number.

It is an amenable number.

2005567201 is a deficient number, since it is larger than the sum of its proper divisors (208139615).

2005567201 is a wasteful number, since it uses less digits than its factorization.

2005567201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3504.

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 2005567201 is about 44783.5594945288. The cubic root of 2005567201 is about 1261.0890058116.

The spelling of 2005567201 in words is "two billion, five million, five hundred sixty-seven thousand, two hundred one".