25590323366561 has 2 divisors, whose sum is σ = 25590323366562. Its totient is φ = 25590323366560.

The previous prime is 25590323366537. The next prime is 25590323366579. The reversal of 25590323366561 is 16566332309552.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16010561742400 + 9579761624161 = 4001320^2 + 3095119^2 .

It is a cyclic number.

It is not a de Polignac number, because 25590323366561 - 2¹⁴ = 25590323350177 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 25590323366497 and 25590323366506.

It is not a weakly prime, because it can be changed into another prime (25590323366501) 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, 12795161683280 + 12795161683281.

It is an arithmetic number, because the mean of its divisors is an integer number (12795161683281).

Almost surely, 2^{25590323366561} is an apocalyptic number.

It is an amenable number.

25590323366561 is a deficient number, since it is larger than the sum of its proper divisors (1).

25590323366561 is an equidigital number, since it uses as much as digits as its factorization.

25590323366561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26244000, while the sum is 56.

The spelling of 25590323366561 in words is "twenty-five trillion, five hundred ninety billion, three hundred twenty-three million, three hundred sixty-six thousand, five hundred sixty-one".