527021164013 has 2 divisors, whose sum is σ = 527021164014. Its totient is φ = 527021164012.

The previous prime is 527021163989. The next prime is 527021164049. The reversal of 527021164013 is 310461120725.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 321973400329 + 205047763684 = 567427^2 + 452822^2 .

It is a cyclic number.

It is not a de Polignac number, because 527021164013 - 2³⁴ = 509841294829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (527021164913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 263510582006 + 263510582007.

It is an arithmetic number, because the mean of its divisors is an integer number (263510582007).

Almost surely, 2^527021164013 is an apocalyptic number.

It is an amenable number.

527021164013 is a deficient number, since it is larger than the sum of its proper divisors (1).

527021164013 is an equidigital number, since it uses as much as digits as its factorization.

527021164013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 32.

Adding to 527021164013 its reverse (310461120725), we get a palindrome (837482284738).

The spelling of 527021164013 in words is "five hundred twenty-seven billion, twenty-one million, one hundred sixty-four thousand, thirteen".