827321513 has 2 divisors, whose sum is σ = 827321514. Its totient is φ = 827321512.

The previous prime is 827321399. The next prime is 827321527. The reversal of 827321513 is 315123728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 656025769 + 171295744 = 25613^2 + 13088^2 .

It is a cyclic number.

It is not a de Polignac number, because 827321513 - 2¹² = 827317417 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 827321513.

It is not a weakly prime, because it can be changed into another prime (827321533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413660756 + 413660757.

It is an arithmetic number, because the mean of its divisors is an integer number (413660757).

Almost surely, 2^827321513 is an apocalyptic number.

It is an amenable number.

827321513 is a deficient number, since it is larger than the sum of its proper divisors (1).

827321513 is an equidigital number, since it uses as much as digits as its factorization.

827321513 is an odious number, because the sum of its binary digits is odd.

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

The square root of 827321513 is about 28763.1971971128. The cubic root of 827321513 is about 938.7676294072.

The spelling of 827321513 in words is "eight hundred twenty-seven million, three hundred twenty-one thousand, five hundred thirteen".