1306261205361 has 192 divisors, whose sum is σ = 2412088035840. Its totient is φ = 681971097600.

The previous prime is 1306261205357. The next prime is 1306261205387. The reversal of 1306261205361 is 1635021626031.

1306261205361 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 2 + 612 + 0 + 5 + 36 + 1 = 666.

It is not a de Polignac number, because 1306261205361 - 2² = 1306261205357 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1306261205761) 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 191 ways as a sum of consecutive naturals, for example, 911556301 + ... + 911557733.

It is an arithmetic number, because the mean of its divisors is an integer number (12562958520).

Almost surely, 2^{1306261205361} is an apocalyptic number.

It is an amenable number.

1306261205361 is a deficient number, since it is larger than the sum of its proper divisors (1105826830479).

1306261205361 is a wasteful number, since it uses less digits than its factorization.

1306261205361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 1306261205361 in words is "one trillion, three hundred six billion, two hundred sixty-one million, two hundred five thousand, three hundred sixty-one".