1205605152 has 36 divisors (see below), whose sum is σ = 3428440470. Its totient is φ = 401868288.

The previous prime is 1205605127. The next prime is 1205605153. The reversal of 1205605152 is 2515065021.

1205605152 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 605 + 1 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1205200656 + 404496 = 34716^2 + 636^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (1205605153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2092777 + ... + 2093352.

Almost surely, 2^1205605152 is an apocalyptic number.

1205605152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1205605152 is an abundant number, since it is smaller than the sum of its proper divisors (2222835318).

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

1205605152 is a wasteful number, since it uses less digits than its factorization.

1205605152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4186145 (or 4186134 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 1205605152 is about 34721.8252976424. The cubic root of 1205605152 is about 1064.3105449654.

The spelling of 1205605152 in words is "one billion, two hundred five million, six hundred five thousand, one hundred fifty-two".