1205146241 has 16 divisors (see below), whose sum is σ = 1325555280. Its totient is φ = 1088947200.

The previous prime is 1205146177. The next prime is 1205146259. The reversal of 1205146241 is 1426415021.

It can be written as a sum of positive squares in 8 ways, for example, as 15241216 + 1189905025 = 3904^2 + 34495^2 .

It is a cyclic number.

It is not a de Polignac number, because 1205146241 - 2⁶ = 1205146177 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 1205146241.

It is not an unprimeable number, because it can be changed into a prime (1205146141) 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 15 ways as a sum of consecutive naturals, for example, 111701 + ... + 122013.

It is an arithmetic number, because the mean of its divisors is an integer number (82847205).

Almost surely, 2^1205146241 is an apocalyptic number.

It is an amenable number.

1205146241 is a deficient number, since it is larger than the sum of its proper divisors (120409039).

1205146241 is a wasteful number, since it uses less digits than its factorization.

1205146241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10516.

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 1205146241 is about 34715.2162747116. The cubic root of 1205146241 is about 1064.1754853230.

The spelling of 1205146241 in words is "one billion, two hundred five million, one hundred forty-six thousand, two hundred forty-one".