1306054135161 has 48 divisors (see below), whose sum is σ = 2035781439120. Its totient is φ = 803926425600.

The previous prime is 1306054135157. The next prime is 1306054135171. The reversal of 1306054135161 is 1615314506031.

1306054135161 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 0 + 541 + 3 + 51 + 61 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 270055869561 + 1035998265600 = 519669^2 + 1017840^2 .

It is not a de Polignac number, because 1306054135161 - 2² = 1306054135157 is a prime.

It is a super-2 number, since 2×1306054135161² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1306054135171) 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 47 ways as a sum of consecutive naturals, for example, 1296681 + ... + 2072073.

It is an arithmetic number, because the mean of its divisors is an integer number (42412113315).

Almost surely, 2^{1306054135161} is an apocalyptic number.

It is an amenable number.

1306054135161 is a deficient number, since it is larger than the sum of its proper divisors (729727303959).

1306054135161 is a wasteful number, since it uses less digits than its factorization.

1306054135161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775626 (or 775623 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 1306054135161 in words is "one trillion, three hundred six billion, fifty-four million, one hundred thirty-five thousand, one hundred sixty-one".