527213645593 has 2 divisors, whose sum is σ = 527213645594. Its totient is φ = 527213645592.

The previous prime is 527213645507. The next prime is 527213645617. The reversal of 527213645593 is 395546312725.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 482013609984 + 45200035609 = 694272^2 + 212603^2 .

It is a cyclic number.

It is not a de Polignac number, because 527213645593 - 2⁹ = 527213645081 is a prime.

It is a super-2 number, since 2×527213645593² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 527213645593.

It is not a weakly prime, because it can be changed into another prime (527213645293) 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, 263606822796 + 263606822797.

It is an arithmetic number, because the mean of its divisors is an integer number (263606822797).

Almost surely, 2^527213645593 is an apocalyptic number.

It is an amenable number.

527213645593 is a deficient number, since it is larger than the sum of its proper divisors (1).

527213645593 is an equidigital number, since it uses as much as digits as its factorization.

527213645593 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6804000, while the sum is 52.

The spelling of 527213645593 in words is "five hundred twenty-seven billion, two hundred thirteen million, six hundred forty-five thousand, five hundred ninety-three".