12605752001 has 2 divisors, whose sum is σ = 12605752002. Its totient is φ = 12605752000.

The previous prime is 12605751953. The next prime is 12605752021. The reversal of 12605752001 is 10025750621.

12605752001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12485827600 + 119924401 = 111740^2 + 10951^2 .

It is a cyclic number.

It is not a de Polignac number, because 12605752001 - 2¹⁴ = 12605735617 is a prime.

It is not a weakly prime, because it can be changed into another prime (12605752021) 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, 6302876000 + 6302876001.

It is an arithmetic number, because the mean of its divisors is an integer number (6302876001).

Almost surely, 2^12605752001 is an apocalyptic number.

It is an amenable number.

12605752001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12605752001 is an equidigital number, since it uses as much as digits as its factorization.

12605752001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4200, while the sum is 29.

The spelling of 12605752001 in words is "twelve billion, six hundred five million, seven hundred fifty-two thousand, one".