12521505445601 has 2 divisors, whose sum is σ = 12521505445602. Its totient is φ = 12521505445600.

The previous prime is 12521505445507. The next prime is 12521505445609. The reversal of 12521505445601 is 10654450512521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12382375699600 + 139129746001 = 3518860^2 + 373001^2 .

It is an emirp because it is prime and its reverse (10654450512521) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12521505445601 is a prime.

It is not a weakly prime, because it can be changed into another prime (12521505445609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6260752722800 + 6260752722801.

It is an arithmetic number, because the mean of its divisors is an integer number (6260752722801).

Almost surely, 2^{12521505445601} is an apocalyptic number.

It is an amenable number.

12521505445601 is a deficient number, since it is larger than the sum of its proper divisors (1).

12521505445601 is an equidigital number, since it uses as much as digits as its factorization.

12521505445601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240000, while the sum is 41.

The spelling of 12521505445601 in words is "twelve trillion, five hundred twenty-one billion, five hundred five million, four hundred forty-five thousand, six hundred one".