1305603236241 has 12 divisors (see below), whose sum is σ = 1885910047632. Its totient is φ = 870384293016.

The previous prime is 1305603236209. The next prime is 1305603236281. The reversal of 1305603236241 is 1426323065031.

1305603236241 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 6 + 0 + 3 + 23 + 624 + 1 = 666.

It is not a de Polignac number, because 1305603236241 - 2⁵ = 1305603236209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1305603236196 and 1305603236205.

It is not an unprimeable number, because it can be changed into a prime (1305603236281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1018011 + ... + 1909856.

It is an arithmetic number, because the mean of its divisors is an integer number (157159170636).

Almost surely, 2^{1305603236241} is an apocalyptic number.

It is an amenable number.

1305603236241 is a deficient number, since it is larger than the sum of its proper divisors (580306811391).

1305603236241 is a wasteful number, since it uses less digits than its factorization.

1305603236241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2977420 (or 2977417 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 1305603236241 in words is "one trillion, three hundred five billion, six hundred three million, two hundred thirty-six thousand, two hundred forty-one".