4052578563041 has 2 divisors, whose sum is σ = 4052578563042. Its totient is φ = 4052578563040.

The previous prime is 4052578563029. The next prime is 4052578563053. The reversal of 4052578563041 is 1403658752504.

4052578563041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (4052578563029) and next prime (4052578563053).

It can be written as a sum of positive squares in only one way, i.e., 3759468934225 + 293109628816 = 1938935^2 + 541396^2 .

It is a cyclic number.

It is not a de Polignac number, because 4052578563041 - 2¹⁰ = 4052578562017 is a prime.

It is a super-2 number, since 2×4052578563041² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4052578523041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2026289281520 + 2026289281521.

It is an arithmetic number, because the mean of its divisors is an integer number (2026289281521).

Almost surely, 2^{4052578563041} is an apocalyptic number.

It is an amenable number.

4052578563041 is a deficient number, since it is larger than the sum of its proper divisors (1).

4052578563041 is an equidigital number, since it uses as much as digits as its factorization.

4052578563041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032000, while the sum is 50.

The spelling of 4052578563041 in words is "four trillion, fifty-two billion, five hundred seventy-eight million, five hundred sixty-three thousand, forty-one".