1305005223305 has 16 divisors (see below), whose sum is σ = 1867535426304. Its totient is φ = 855953736000.

The previous prime is 1305005223289. The next prime is 1305005223337. The reversal of 1305005223305 is 5033225005031.

It is not a de Polignac number, because 1305005223305 - 2⁴ = 1305005223289 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 810561446 + ... + 810563055.

It is an arithmetic number, because the mean of its divisors is an integer number (116720964144).

Almost surely, 2^{1305005223305} is an apocalyptic number.

It is an amenable number.

1305005223305 is a deficient number, since it is larger than the sum of its proper divisors (562530202999).

1305005223305 is a wasteful number, since it uses less digits than its factorization.

1305005223305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621124536.

The product of its (nonzero) digits is 13500, while the sum is 29.

The spelling of 1305005223305 in words is "one trillion, three hundred five billion, five million, two hundred twenty-three thousand, three hundred five".