1305423663233 has 48 divisors (see below), whose sum is σ = 1445667912000. Its totient is φ = 1177103735808.

The previous prime is 1305423663223. The next prime is 1305423663239. The reversal of 1305423663233 is 3323663245031.

It is a happy number.

It is not a de Polignac number, because 1305423663233 - 2⁴ = 1305423663217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1305423663239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1288670435 + ... + 1288671447.

It is an arithmetic number, because the mean of its divisors is an integer number (30118081500).

Almost surely, 2^{1305423663233} is an apocalyptic number.

It is an amenable number.

1305423663233 is a deficient number, since it is larger than the sum of its proper divisors (140244248767).

1305423663233 is a wasteful number, since it uses less digits than its factorization.

1305423663233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 41.

The spelling of 1305423663233 in words is "one trillion, three hundred five billion, four hundred twenty-three million, six hundred sixty-three thousand, two hundred thirty-three".