4681583525701 has 2 divisors, whose sum is σ = 4681583525702. Its totient is φ = 4681583525700.

The previous prime is 4681583525623. The next prime is 4681583525719. The reversal of 4681583525701 is 1075253851864.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4030578216900 + 651005308801 = 2007630^2 + 806849^2 .

It is a cyclic number.

It is not a de Polignac number, because 4681583525701 - 2⁷ = 4681583525573 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4681583595701) 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 as a sum of consecutive naturals, namely, 2340791762850 + 2340791762851.

It is an arithmetic number, because the mean of its divisors is an integer number (2340791762851).

Almost surely, 2^{4681583525701} is an apocalyptic number.

It is an amenable number.

4681583525701 is a deficient number, since it is larger than the sum of its proper divisors (1).

4681583525701 is an equidigital number, since it uses as much as digits as its factorization.

4681583525701 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064000, while the sum is 55.

The spelling of 4681583525701 in words is "four trillion, six hundred eighty-one billion, five hundred eighty-three million, five hundred twenty-five thousand, seven hundred one".