4681606541 has 2 divisors, whose sum is σ = 4681606542. Its totient is φ = 4681606540.

The previous prime is 4681606529. The next prime is 4681606549. The reversal of 4681606541 is 1456061864.

4681606541 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4257040516 + 424566025 = 65246^2 + 20605^2 .

It is a cyclic number.

It is not a de Polignac number, because 4681606541 - 2¹⁴ = 4681590157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4681606549) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2340803270 + 2340803271.

It is an arithmetic number, because the mean of its divisors is an integer number (2340803271).

Almost surely, 2^4681606541 is an apocalyptic number.

It is an amenable number.

4681606541 is a deficient number, since it is larger than the sum of its proper divisors (1).

4681606541 is an equidigital number, since it uses as much as digits as its factorization.

4681606541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 138240, while the sum is 41.

The square root of 4681606541 is about 68422.2664123310. The cubic root of 4681606541 is about 1672.8806987205.

The spelling of 4681606541 in words is "four billion, six hundred eighty-one million, six hundred six thousand, five hundred forty-one".