852845135041 has 2 divisors, whose sum is σ = 852845135042. Its totient is φ = 852845135040.

The previous prime is 852845134951. The next prime is 852845135063. The reversal of 852845135041 is 140531548258.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 806017906225 + 46827228816 = 897785^2 + 216396^2 .

It is a cyclic number.

It is not a de Polignac number, because 852845135041 - 2³⁹ = 303089321153 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 852845134982 and 852845135000.

It is not a weakly prime, because it can be changed into another prime (852845135071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 426422567520 + 426422567521.

It is an arithmetic number, because the mean of its divisors is an integer number (426422567521).

Almost surely, 2^852845135041 is an apocalyptic number.

It is an amenable number.

852845135041 is a deficient number, since it is larger than the sum of its proper divisors (1).

852845135041 is an equidigital number, since it uses as much as digits as its factorization.

852845135041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768000, while the sum is 46.

The spelling of 852845135041 in words is "eight hundred fifty-two billion, eight hundred forty-five million, one hundred thirty-five thousand, forty-one".