1205266001 has 2 divisors, whose sum is σ = 1205266002. Its totient is φ = 1205266000.

The previous prime is 1205265973. The next prime is 1205266003. The reversal of 1205266001 is 1006625021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 838160401 + 367105600 = 28951^2 + 19160^2 .

It is an emirp because it is prime and its reverse (1006625021) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1205266001 - 2⁶ = 1205265937 is a prime.

It is a super-2 number, since 2×1205266001² = 2905332266333064002, which contains 22 as substring.

Together with 1205266003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1205266003) 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, 602633000 + 602633001.

It is an arithmetic number, because the mean of its divisors is an integer number (602633001).

Almost surely, 2^1205266001 is an apocalyptic number.

It is an amenable number.

1205266001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1205266001 is an equidigital number, since it uses as much as digits as its factorization.

1205266001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 1205266001 is about 34716.9411238951. The cubic root of 1205266001 is about 1064.2107345540.

The spelling of 1205266001 in words is "one billion, two hundred five million, two hundred sixty-six thousand, one".