1305072048005 has 48 divisors (see below), whose sum is σ = 1735330800000. Its totient is φ = 941491900800.

The previous prime is 1305072047989. The next prime is 1305072048019. The reversal of 1305072048005 is 5008402705031.

It is a happy number.

It is not a de Polignac number, because 1305072048005 - 2⁴ = 1305072047989 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 39834371 + ... + 39867119.

It is an arithmetic number, because the mean of its divisors is an integer number (36152725000).

Almost surely, 2^{1305072048005} is an apocalyptic number.

It is an amenable number.

1305072048005 is a deficient number, since it is larger than the sum of its proper divisors (430258751995).

1305072048005 is a wasteful number, since it uses less digits than its factorization.

1305072048005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33306 (or 33295 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The spelling of 1305072048005 in words is "one trillion, three hundred five billion, seventy-two million, forty-eight thousand, five".