10829332206397 has 2 divisors, whose sum is σ = 10829332206398. Its totient is φ = 10829332206396.

The previous prime is 10829332206391. The next prime is 10829332206437. The reversal of 10829332206397 is 79360223392801.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10755638417241 + 73693789156 = 3279579^2 + 271466^2 .

It is a cyclic number.

It is not a de Polignac number, because 10829332206397 - 2³⁵ = 10794972468029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10829332206391) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5414666103198 + 5414666103199.

It is an arithmetic number, because the mean of its divisors is an integer number (5414666103199).

Almost surely, 2^{10829332206397} is an apocalyptic number.

It is an amenable number.

10829332206397 is a deficient number, since it is larger than the sum of its proper divisors (1).

10829332206397 is an equidigital number, since it uses as much as digits as its factorization.

10829332206397 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5878656, while the sum is 55.

The spelling of 10829332206397 in words is "ten trillion, eight hundred twenty-nine billion, three hundred thirty-two million, two hundred six thousand, three hundred ninety-seven".