102827591292289 has 2 divisors, whose sum is σ = 102827591292290. Its totient is φ = 102827591292288.

The previous prime is 102827591292137. The next prime is 102827591292329. The reversal of 102827591292289 is 982292195728201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102474319161600 + 353272130689 = 10122960^2 + 594367^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102827591292289 is a prime.

It is not a weakly prime, because it can be changed into another prime (102827591292589) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51413795646144 + 51413795646145.

It is an arithmetic number, because the mean of its divisors is an integer number (51413795646145).

Almost surely, 2^{102827591292289} is an apocalyptic number.

It is an amenable number.

102827591292289 is a deficient number, since it is larger than the sum of its proper divisors (1).

102827591292289 is an equidigital number, since it uses as much as digits as its factorization.

102827591292289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 52254720, while the sum is 67.

The spelling of 102827591292289 in words is "one hundred two trillion, eight hundred twenty-seven billion, five hundred ninety-one million, two hundred ninety-two thousand, two hundred eighty-nine".