1266509412001 has 2 divisors, whose sum is σ = 1266509412002. Its totient is φ = 1266509412000.

The previous prime is 1266509411977. The next prime is 1266509412017. The reversal of 1266509412001 is 1002149056621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 816032189025 + 450477222976 = 903345^2 + 671176^2 .

It is a cyclic number.

It is not a de Polignac number, because 1266509412001 - 2³¹ = 1264361928353 is a prime.

It is not a weakly prime, because it can be changed into another prime (1266509482001) 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, 633254706000 + 633254706001.

It is an arithmetic number, because the mean of its divisors is an integer number (633254706001).

Almost surely, 2^{1266509412001} is an apocalyptic number.

It is an amenable number.

1266509412001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1266509412001 is an equidigital number, since it uses as much as digits as its factorization.

1266509412001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 37.

The spelling of 1266509412001 in words is "one trillion, two hundred sixty-six billion, five hundred nine million, four hundred twelve thousand, one".