27505001 has 2 divisors, whose sum is σ = 27505002. Its totient is φ = 27505000.

The previous prime is 27504979. The next prime is 27505003. The reversal of 27505001 is 10050572.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26790976 + 714025 = 5176^2 + 845^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-27505001 is a prime.

It is a Sophie Germain prime.

Together with 27505003, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (27505003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13752500 + 13752501.

It is an arithmetic number, because the mean of its divisors is an integer number (13752501).

Almost surely, 2^27505001 is an apocalyptic number.

It is an amenable number.

27505001 is a deficient number, since it is larger than the sum of its proper divisors (1).

27505001 is an equidigital number, since it uses as much as digits as its factorization.

27505001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 350, while the sum is 20.

The square root of 27505001 is about 5244.5210458153. The cubic root of 27505001 is about 301.8588327554.

Adding to 27505001 its reverse (10050572), we get a palindrome (37555573).

The spelling of 27505001 in words is "twenty-seven million, five hundred five thousand, one".