30461131516041 has 24 divisors (see below), whose sum is σ = 44260102640520. Its totient is φ = 20187136075776.

The previous prime is 30461131516027. The next prime is 30461131516069. The reversal of 30461131516041 is 14061513116403.

30461131516041 is a `hidden beast` number, since 3 + 0 + 4 + 6 + 1 + 131 + 516 + 0 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4308094604025 + 26153036912016 = 2075595^2 + 5114004^2 .

It is not a de Polignac number, because 30461131516041 - 2¹⁵ = 30461131483273 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 30461131515987 and 30461131516005.

It is not an unprimeable number, because it can be changed into a prime (30461131416041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9461155 + ... + 12265223.

It is an arithmetic number, because the mean of its divisors is an integer number (1844170943355).

Almost surely, 2^{30461131516041} is an apocalyptic number.

It is an amenable number.

30461131516041 is a deficient number, since it is larger than the sum of its proper divisors (13798971124479).

30461131516041 is a wasteful number, since it uses less digits than its factorization.

30461131516041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2811225 (or 2811222 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 30461131516041 in words is "thirty trillion, four hundred sixty-one billion, one hundred thirty-one million, five hundred sixteen thousand, forty-one".