305114635314513 has 12 divisors (see below), whose sum is σ = 440722946670708. Its totient is φ = 203408922981600.

The previous prime is 305114635314491. The next prime is 305114635314527. The reversal of 305114635314513 is 315413536411503.

305114635314513 is a `hidden beast` number, since 3 + 0 + 5 + 1 + 1 + 4 + 63 + 531 + 4 + 51 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 237450471287184 + 67664164027329 = 15409428^2 + 8225823^2 .

It is not a de Polignac number, because 305114635314513 - 2⁸ = 305114635314257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (305114635334513) 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 11 ways as a sum of consecutive naturals, for example, 67169838 + ... + 71568263.

It is an arithmetic number, because the mean of its divisors is an integer number (36726912222559).

Almost surely, 2^{305114635314513} is an apocalyptic number.

It is an amenable number.

305114635314513 is a deficient number, since it is larger than the sum of its proper divisors (135608311356195).

305114635314513 is a wasteful number, since it uses less digits than its factorization.

305114635314513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138982464 (or 138982461 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 305114635314513 in words is "three hundred five trillion, one hundred fourteen billion, six hundred thirty-five million, three hundred fourteen thousand, five hundred thirteen".