266627008001 has 2 divisors, whose sum is σ = 266627008002. Its totient is φ = 266627008000.

The previous prime is 266627007979. The next prime is 266627008009. The reversal of 266627008001 is 100800726662.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 227719840000 + 38907168001 = 477200^2 + 197249^2 .

It is a cyclic number.

It is not a de Polignac number, because 266627008001 - 2⁶ = 266627007937 is a prime.

It is a super-2 number, since 2×266627008001² (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (266627008009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 133313504000 + 133313504001.

It is an arithmetic number, because the mean of its divisors is an integer number (133313504001).

Almost surely, 2^266627008001 is an apocalyptic number.

It is an amenable number.

266627008001 is a deficient number, since it is larger than the sum of its proper divisors (1).

266627008001 is an equidigital number, since it uses as much as digits as its factorization.

266627008001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48384, while the sum is 38.

The spelling of 266627008001 in words is "two hundred sixty-six billion, six hundred twenty-seven million, eight thousand, one".