259059840353 has 2 divisors, whose sum is σ = 259059840354. Its totient is φ = 259059840352.

The previous prime is 259059840317. The next prime is 259059840371. The reversal of 259059840353 is 353048950952.

259059840353 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 249217613089 + 9842227264 = 499217^2 + 99208^2 .

It is a cyclic number.

It is not a de Polignac number, because 259059840353 - 2¹² = 259059836257 is a prime.

It is a super-2 number, since 2×259059840353² (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 259059840295 and 259059840304.

It is not a weakly prime, because it can be changed into another prime (259059840313) by changing a digit.

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 as a sum of consecutive naturals, namely, 129529920176 + 129529920177.

It is an arithmetic number, because the mean of its divisors is an integer number (129529920177).

Almost surely, 2^259059840353 is an apocalyptic number.

It is an amenable number.

259059840353 is a deficient number, since it is larger than the sum of its proper divisors (1).

259059840353 is an equidigital number, since it uses as much as digits as its factorization.

259059840353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832000, while the sum is 53.

The spelling of 259059840353 in words is "two hundred fifty-nine billion, fifty-nine million, eight hundred forty thousand, three hundred fifty-three".