527573409217 has 2 divisors, whose sum is σ = 527573409218. Its totient is φ = 527573409216.

The previous prime is 527573409197. The next prime is 527573409229. The reversal of 527573409217 is 712904375725.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 311809443201 + 215763966016 = 558399^2 + 464504^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-527573409217 is a prime.

It is a super-2 number, since 2×527573409217² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (527573409287) 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, 263786704608 + 263786704609.

It is an arithmetic number, because the mean of its divisors is an integer number (263786704609).

Almost surely, 2^527573409217 is an apocalyptic number.

It is an amenable number.

527573409217 is a deficient number, since it is larger than the sum of its proper divisors (1).

527573409217 is an equidigital number, since it uses as much as digits as its factorization.

527573409217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3704400, while the sum is 52.

The spelling of 527573409217 in words is "five hundred twenty-seven billion, five hundred seventy-three million, four hundred nine thousand, two hundred seventeen".