259803215325413 has 2 divisors, whose sum is σ = 259803215325414. Its totient is φ = 259803215325412.

The previous prime is 259803215325349. The next prime is 259803215325449. The reversal of 259803215325413 is 314523512308952.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 171617912491204 + 88185302834209 = 13100302^2 + 9390703^2 .

It is a cyclic number.

It is not a de Polignac number, because 259803215325413 - 2⁶ = 259803215325349 is a prime.

It is a super-2 number, since 2×259803215325413² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (259803215327413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129901607662706 + 129901607662707.

It is an arithmetic number, because the mean of its divisors is an integer number (129901607662707).

Almost surely, 2^{259803215325413} is an apocalyptic number.

It is an amenable number.

259803215325413 is a deficient number, since it is larger than the sum of its proper divisors (1).

259803215325413 is an equidigital number, since it uses as much as digits as its factorization.

259803215325413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776000, while the sum is 53.

The spelling of 259803215325413 in words is "two hundred fifty-nine trillion, eight hundred three billion, two hundred fifteen million, three hundred twenty-five thousand, four hundred thirteen".