1305011205 has 24 divisors (see below), whose sum is σ = 2395080792. Its totient is φ = 655064064.

The previous prime is 1305011179. The next prime is 1305011207. The reversal of 1305011205 is 5021105031.

It can be written as a sum of positive squares in 4 ways, for example, as 616578561 + 688432644 = 24831^2 + 26238^2 .

It is not a de Polignac number, because 1305011205 - 2¹⁷ = 1304880133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305011207) 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 23 ways as a sum of consecutive naturals, for example, 852184 + ... + 853713.

It is an arithmetic number, because the mean of its divisors is an integer number (99795033).

Almost surely, 2^1305011205 is an apocalyptic number.

1305011205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1305011205 is a deficient number, since it is larger than the sum of its proper divisors (1090069587).

1305011205 is a wasteful number, since it uses less digits than its factorization.

1305011205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705925 (or 1705922 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 1305011205 is about 36124.9388234776. The cubic root of 1305011205 is about 1092.7934422877.

Adding to 1305011205 its reverse (5021105031), we get a palindrome (6326116236).

The spelling of 1305011205 in words is "one billion, three hundred five million, eleven thousand, two hundred five".