1300005205 has 8 divisors (see below), whose sum is σ = 1560278232. Its totient is φ = 1039822848.

The previous prime is 1300005151. The next prime is 1300005209. The reversal of 1300005205 is 5025000031.

It can be written as a sum of positive squares in 4 ways, for example, as 221473924 + 1078531281 = 14882^2 + 32841^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1300005205 - 2¹⁵ = 1299972437 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300005209) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14389 + ... + 52981.

It is an arithmetic number, because the mean of its divisors is an integer number (195034779).

Almost surely, 2^1300005205 is an apocalyptic number.

It is an amenable number.

1300005205 is a deficient number, since it is larger than the sum of its proper divisors (260273027).

1300005205 is an equidigital number, since it uses as much as digits as its factorization.

1300005205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45335.

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 1300005205 is about 36055.5849349307. The cubic root of 1300005205 is about 1091.3943396489.

Adding to 1300005205 its reverse (5025000031), we get a palindrome (6325005236).

The spelling of 1300005205 in words is "one billion, three hundred million, five thousand, two hundred five".