25726261250561 has 2 divisors, whose sum is σ = 25726261250562. Its totient is φ = 25726261250560.

The previous prime is 25726261250519. The next prime is 25726261250587. The reversal of 25726261250561 is 16505216262752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22956220300225 + 2770040950336 = 4791265^2 + 1664344^2 .

It is a cyclic number.

It is not a de Polignac number, because 25726261250561 - 2²² = 25726257056257 is a prime.

It is not a weakly prime, because it can be changed into another prime (25726261250861) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12863130625280 + 12863130625281.

It is an arithmetic number, because the mean of its divisors is an integer number (12863130625281).

Almost surely, 2^{25726261250561} is an apocalyptic number.

It is an amenable number.

25726261250561 is a deficient number, since it is larger than the sum of its proper divisors (1).

25726261250561 is an equidigital number, since it uses as much as digits as its factorization.

25726261250561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3024000, while the sum is 50.

The spelling of 25726261250561 in words is "twenty-five trillion, seven hundred twenty-six billion, two hundred sixty-one million, two hundred fifty thousand, five hundred sixty-one".