830757105361 has 2 divisors, whose sum is σ = 830757105362. Its totient is φ = 830757105360.

The previous prime is 830757105359. The next prime is 830757105419. The reversal of 830757105361 is 163501757038.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 790418793025 + 40338312336 = 889055^2 + 200844^2 .

It is a cyclic number.

It is not a de Polignac number, because 830757105361 - 2¹ = 830757105359 is a prime.

Together with 830757105359, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (830757175361) 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, 415378552680 + 415378552681.

It is an arithmetic number, because the mean of its divisors is an integer number (415378552681).

Almost surely, 2^830757105361 is an apocalyptic number.

It is an amenable number.

830757105361 is a deficient number, since it is larger than the sum of its proper divisors (1).

830757105361 is an equidigital number, since it uses as much as digits as its factorization.

830757105361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 529200, while the sum is 46.

The spelling of 830757105361 in words is "eight hundred thirty billion, seven hundred fifty-seven million, one hundred five thousand, three hundred sixty-one".