27725827001 has 2 divisors, whose sum is σ = 27725827002. Its totient is φ = 27725827000.

The previous prime is 27725826967. The next prime is 27725827009. The reversal of 27725827001 is 10072852772.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27705935401 + 19891600 = 166451^2 + 4460^2 .

It is a cyclic number.

It is not a de Polignac number, because 27725827001 - 2⁶ = 27725826937 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 27725827001.

It is not a weakly prime, because it can be changed into another prime (27725827009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13862913500 + 13862913501.

It is an arithmetic number, because the mean of its divisors is an integer number (13862913501).

Almost surely, 2^27725827001 is an apocalyptic number.

It is an amenable number.

27725827001 is a deficient number, since it is larger than the sum of its proper divisors (1).

27725827001 is an equidigital number, since it uses as much as digits as its factorization.

27725827001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 109760, while the sum is 41.

The spelling of 27725827001 in words is "twenty-seven billion, seven hundred twenty-five million, eight hundred twenty-seven thousand, one".