259607099136097 has 2 divisors, whose sum is σ = 259607099136098. Its totient is φ = 259607099136096.

The previous prime is 259607099135957. The next prime is 259607099136103. The reversal of 259607099136097 is 790631990706952.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 192911848911441 + 66695250224656 = 13889271^2 + 8166716^2 .

It is a cyclic number.

It is not a de Polignac number, because 259607099136097 - 2²⁷ = 259606964918369 is a prime.

It is not a weakly prime, because it can be changed into another prime (259607099136797) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129803549568048 + 129803549568049.

It is an arithmetic number, because the mean of its divisors is an integer number (129803549568049).

Almost surely, 2^{259607099136097} is an apocalyptic number.

It is an amenable number.

259607099136097 is a deficient number, since it is larger than the sum of its proper divisors (1).

259607099136097 is an equidigital number, since it uses as much as digits as its factorization.

259607099136097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 347208120, while the sum is 73.

The spelling of 259607099136097 in words is "two hundred fifty-nine trillion, six hundred seven billion, ninety-nine million, one hundred thirty-six thousand, ninety-seven".