1305312064353 has 24 divisors (see below), whose sum is σ = 2177846869536. Its totient is φ = 744563030400.

The previous prime is 1305312064279. The next prime is 1305312064393. The reversal of 1305312064353 is 3534602135031.

1305312064353 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 3 + 1 + 2 + 0 + 643 + 5 + 3 = 666.

It is not a de Polignac number, because 1305312064353 - 2¹⁰ = 1305312063329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1305312064393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 387791563 + ... + 387794928.

It is an arithmetic number, because the mean of its divisors is an integer number (90743619564).

Almost surely, 2^{1305312064353} is an apocalyptic number.

It is an amenable number.

1305312064353 is a deficient number, since it is larger than the sum of its proper divisors (872534805183).

1305312064353 is a wasteful number, since it uses less digits than its factorization.

1305312064353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775586525 (or 775586522 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 1305312064353 its reverse (3534602135031), we get a palindrome (4839914199384).

The spelling of 1305312064353 in words is "one trillion, three hundred five billion, three hundred twelve million, sixty-four thousand, three hundred fifty-three".