1205096056209 has 20 divisors (see below), whose sum is σ = 1862281265460. Its totient is φ = 775694011680.

The previous prime is 1205096056181. The next prime is 1205096056223. The reversal of 1205096056209 is 9026506905021.

It is a happy number.

1205096056209 is a `hidden beast` number, since 1 + 20 + 5 + 0 + 9 + 60 + 562 + 0 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 944644037184 + 260452019025 = 971928^2 + 510345^2 .

It is not a de Polignac number, because 1205096056209 - 2⁷ = 1205096056081 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1205096056279) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 256510222 + ... + 256514919.

It is an arithmetic number, because the mean of its divisors is an integer number (93114063273).

Almost surely, 2^{1205096056209} is an apocalyptic number.

It is an amenable number.

1205096056209 is a deficient number, since it is larger than the sum of its proper divisors (657185209251).

1205096056209 is an equidigital number, since it uses as much as digits as its factorization.

1205096056209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513025182 (or 513025173 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 1205096056209 in words is "one trillion, two hundred five billion, ninety-six million, fifty-six thousand, two hundred nine".