10597864349 has 2 divisors, whose sum is σ = 10597864350. Its totient is φ = 10597864348.

The previous prime is 10597864339. The next prime is 10597864351. The reversal of 10597864349 is 94346879501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9123688324 + 1474176025 = 95518^2 + 38395^2 .

It is a cyclic number.

It is not a de Polignac number, because 10597864349 - 2⁸ = 10597864093 is a prime.

It is a super-3 number, since 3×10597864349³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 10597864351, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10597864294 and 10597864303.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10597864309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5298932174 + 5298932175.

It is an arithmetic number, because the mean of its divisors is an integer number (5298932175).

Almost surely, 2^10597864349 is an apocalyptic number.

It is an amenable number.

10597864349 is a deficient number, since it is larger than the sum of its proper divisors (1).

10597864349 is an equidigital number, since it uses as much as digits as its factorization.

10597864349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6531840, while the sum is 56.

The spelling of 10597864349 in words is "ten billion, five hundred ninety-seven million, eight hundred sixty-four thousand, three hundred forty-nine".