1305630136305 has 96 divisors (see below), whose sum is σ = 2685594307200. Its totient is φ = 599715135360.

The previous prime is 1305630136303. The next prime is 1305630136313. The reversal of 1305630136305 is 5036310365031.

1305630136305 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 6 + 3 + 0 + 13 + 630 + 5 = 666.

It is not a de Polignac number, because 1305630136305 - 2¹ = 1305630136303 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1305630136305.

It is not an unprimeable number, because it can be changed into a prime (1305630136303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1793014 + ... + 2413743.

It is an arithmetic number, because the mean of its divisors is an integer number (27974940700).

Almost surely, 2^{1305630136305} is an apocalyptic number.

1305630136305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1305630136305 is an abundant number, since it is smaller than the sum of its proper divisors (1379964170895).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1305630136305 is a wasteful number, since it uses less digits than its factorization.

1305630136305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4206812 (or 4206795 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 36.

The spelling of 1305630136305 in words is "one trillion, three hundred five billion, six hundred thirty million, one hundred thirty-six thousand, three hundred five".