27665001400033 has 2 divisors, whose sum is σ = 27665001400034. Its totient is φ = 27665001400032.

The previous prime is 27665001399953. The next prime is 27665001400121. The reversal of 27665001400033 is 33000410056672.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23248665525969 + 4416335874064 = 4821687^2 + 2101508^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-27665001400033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 27665001399965 and 27665001400001.

It is not a weakly prime, because it can be changed into another prime (27665001400133) 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, 13832500700016 + 13832500700017.

It is an arithmetic number, because the mean of its divisors is an integer number (13832500700017).

Almost surely, 2^{27665001400033} is an apocalyptic number.

It is an amenable number.

27665001400033 is a deficient number, since it is larger than the sum of its proper divisors (1).

27665001400033 is an equidigital number, since it uses as much as digits as its factorization.

27665001400033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90720, while the sum is 37.

The spelling of 27665001400033 in words is "twenty-seven trillion, six hundred sixty-five billion, one million, four hundred thousand, thirty-three".