827130113 has 2 divisors, whose sum is σ = 827130114. Its totient is φ = 827130112.

The previous prime is 827130103. The next prime is 827130151. The reversal of 827130113 is 311031728.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 580231744 + 246898369 = 24088^2 + 15713^2 .

It is a cyclic number.

It is not a de Polignac number, because 827130113 - 2²⁰ = 826081537 is a prime.

It is not a weakly prime, because it can be changed into another prime (827130103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413565056 + 413565057.

It is an arithmetic number, because the mean of its divisors is an integer number (413565057).

Almost surely, 2^827130113 is an apocalyptic number.

It is an amenable number.

827130113 is a deficient number, since it is larger than the sum of its proper divisors (1).

827130113 is an equidigital number, since it uses as much as digits as its factorization.

827130113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 827130113 is about 28759.8698362840. The cubic root of 827130113 is about 938.6952295080.

The spelling of 827130113 in words is "eight hundred twenty-seven million, one hundred thirty thousand, one hundred thirteen".