59505345041 has 2 divisors, whose sum is σ = 59505345042. Its totient is φ = 59505345040.

The previous prime is 59505345007. The next prime is 59505345047. The reversal of 59505345041 is 14054350595.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57523225600 + 1982119441 = 239840^2 + 44521^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-59505345041 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 59505345041.

It is not a weakly prime, because it can be changed into another prime (59505345047) 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, 29752672520 + 29752672521.

It is an arithmetic number, because the mean of its divisors is an integer number (29752672521).

Almost surely, 2^59505345041 is an apocalyptic number.

It is an amenable number.

59505345041 is a deficient number, since it is larger than the sum of its proper divisors (1).

59505345041 is an equidigital number, since it uses as much as digits as its factorization.

59505345041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 270000, while the sum is 41.

The spelling of 59505345041 in words is "fifty-nine billion, five hundred five million, three hundred forty-five thousand, forty-one".