4812075820241 has 2 divisors, whose sum is σ = 4812075820242. Its totient is φ = 4812075820240.

The previous prime is 4812075820229. The next prime is 4812075820243. The reversal of 4812075820241 is 1420285702184.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4177408664641 + 634667155600 = 2043871^2 + 796660^2 .

It is a cyclic number.

It is not a de Polignac number, because 4812075820241 - 2²² = 4812071625937 is a prime.

It is a Sophie Germain prime.

Together with 4812075820243, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4812075820192 and 4812075820201.

It is not a weakly prime, because it can be changed into another prime (4812075820243) 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 as a sum of consecutive naturals, namely, 2406037910120 + 2406037910121.

It is an arithmetic number, because the mean of its divisors is an integer number (2406037910121).

Almost surely, 2^{4812075820241} is an apocalyptic number.

It is an amenable number.

4812075820241 is a deficient number, since it is larger than the sum of its proper divisors (1).

4812075820241 is an equidigital number, since it uses as much as digits as its factorization.

4812075820241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 286720, while the sum is 44.

The spelling of 4812075820241 in words is "four trillion, eight hundred twelve billion, seventy-five million, eight hundred twenty thousand, two hundred forty-one".