527021164049 has 2 divisors, whose sum is σ = 527021164050. Its totient is φ = 527021164048.

The previous prime is 527021164013. The next prime is 527021164147. The reversal of 527021164049 is 940461120725.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 436815246400 + 90205917649 = 660920^2 + 300343^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-527021164049 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 527021163997 and 527021164015.

It is not a weakly prime, because it can be changed into another prime (527021164849) 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, 263510582024 + 263510582025.

It is an arithmetic number, because the mean of its divisors is an integer number (263510582025).

Almost surely, 2^527021164049 is an apocalyptic number.

It is an amenable number.

527021164049 is a deficient number, since it is larger than the sum of its proper divisors (1).

527021164049 is an equidigital number, since it uses as much as digits as its factorization.

527021164049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120960, while the sum is 41.

The spelling of 527021164049 in words is "five hundred twenty-seven billion, twenty-one million, one hundred sixty-four thousand, forty-nine".