25405264164409 has 2 divisors, whose sum is σ = 25405264164410. Its totient is φ = 25405264164408.

The previous prime is 25405264164347. The next prime is 25405264164439. The reversal of 25405264164409 is 90446146250452.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16225364037184 + 9179900127225 = 4028072^2 + 3029835^2 .

It is a cyclic number.

It is not a de Polignac number, because 25405264164409 - 2¹⁷ = 25405264033337 is a prime.

It is not a weakly prime, because it can be changed into another prime (25405264164439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12702632082204 + 12702632082205.

It is an arithmetic number, because the mean of its divisors is an integer number (12702632082205).

Almost surely, 2^{25405264164409} is an apocalyptic number.

It is an amenable number.

25405264164409 is a deficient number, since it is larger than the sum of its proper divisors (1).

25405264164409 is an equidigital number, since it uses as much as digits as its factorization.

25405264164409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8294400, while the sum is 52.

The spelling of 25405264164409 in words is "twenty-five trillion, four hundred five billion, two hundred sixty-four million, one hundred sixty-four thousand, four hundred nine".