526041201126013 has 2 divisors, whose sum is σ = 526041201126014. Its totient is φ = 526041201126012.

The previous prime is 526041201125911. The next prime is 526041201126037. The reversal of 526041201126013 is 310621102140625.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 361737462243609 + 164303738882404 = 19019397^2 + 12818102^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-526041201126013 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 526041201126013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (526041201126113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 263020600563006 + 263020600563007.

It is an arithmetic number, because the mean of its divisors is an integer number (263020600563007).

Almost surely, 2^{526041201126013} is an apocalyptic number.

It is an amenable number.

526041201126013 is a deficient number, since it is larger than the sum of its proper divisors (1).

526041201126013 is an equidigital number, since it uses as much as digits as its factorization.

526041201126013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17280, while the sum is 34.

Adding to 526041201126013 its reverse (310621102140625), we get a palindrome (836662303266638).

The spelling of 526041201126013 in words is "five hundred twenty-six trillion, forty-one billion, two hundred one million, one hundred twenty-six thousand, thirteen".