610849320193 has 24 divisors (see below), whose sum is σ = 711866877288. Its totient is φ = 522637629696.

The previous prime is 610849320181. The next prime is 610849320197. The reversal of 610849320193 is 391023948016.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7294355649 + 603554964544 = 85407^2 + 776888^2 .

It is not a de Polignac number, because 610849320193 - 2⁹ = 610849319681 is a prime.

It is the 781569-th Hogben number.

It is not an unprimeable number, because it can be changed into a prime (610849320197) by changing a digit.

It is a nontrivial repunit in base 781568.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83297755 + ... + 83305087.

It is an arithmetic number, because the mean of its divisors is an integer number (29661119887).

Almost surely, 2^610849320193 is an apocalyptic number.

It is an amenable number.

610849320193 is a deficient number, since it is larger than the sum of its proper divisors (101017557095).

610849320193 is a wasteful number, since it uses less digits than its factorization.

610849320193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10193 (or 10186 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 46.

The spelling of 610849320193 in words is "six hundred ten billion, eight hundred forty-nine million, three hundred twenty thousand, one hundred ninety-three".