259200013 has 2 divisors, whose sum is σ = 259200014. Its totient is φ = 259200012.

The previous prime is 259199987. The next prime is 259200023. The reversal of 259200013 is 310002952.

259200013 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., 231131209 + 28068804 = 15203^2 + 5298^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-259200013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (259200023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129600006 + 129600007.

It is an arithmetic number, because the mean of its divisors is an integer number (129600007).

Almost surely, 2^259200013 is an apocalyptic number.

It is an amenable number.

259200013 is a deficient number, since it is larger than the sum of its proper divisors (1).

259200013 is an equidigital number, since it uses as much as digits as its factorization.

259200013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 259200013 is about 16099.6898417330. The cubic root of 259200013 is about 637.5951521690.

Adding to 259200013 its reverse (310002952), we get a palindrome (569202965).

The spelling of 259200013 in words is "two hundred fifty-nine million, two hundred thousand, thirteen".