25913184817409 has 2 divisors, whose sum is σ = 25913184817410. Its totient is φ = 25913184817408.

The previous prime is 25913184817393. The next prime is 25913184817417. The reversal of 25913184817409 is 90471848131952.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25671985963009 + 241198854400 = 5066753^2 + 491120^2 .

It is a cyclic number.

It is not a de Polignac number, because 25913184817409 - 2⁴ = 25913184817393 is a prime.

It is not a weakly prime, because it can be changed into another prime (25913184817439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12956592408704 + 12956592408705.

It is an arithmetic number, because the mean of its divisors is an integer number (12956592408705).

Almost surely, 2^{25913184817409} is an apocalyptic number.

It is an amenable number.

25913184817409 is a deficient number, since it is larger than the sum of its proper divisors (1).

25913184817409 is an equidigital number, since it uses as much as digits as its factorization.

25913184817409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17418240, while the sum is 62.

The spelling of 25913184817409 in words is "twenty-five trillion, nine hundred thirteen billion, one hundred eighty-four million, eight hundred seventeen thousand, four hundred nine".