25057923263041 has 2 divisors, whose sum is σ = 25057923263042. Its totient is φ = 25057923263040.

The previous prime is 25057923263033. The next prime is 25057923263057. The reversal of 25057923263041 is 14036232975052.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23004445727025 + 2053477536016 = 4796295^2 + 1432996^2 .

It is a cyclic number.

It is not a de Polignac number, because 25057923263041 - 2³ = 25057923263033 is a prime.

It is not a weakly prime, because it can be changed into another prime (25057923263741) 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, 12528961631520 + 12528961631521.

It is an arithmetic number, because the mean of its divisors is an integer number (12528961631521).

Almost surely, 2^{25057923263041} is an apocalyptic number.

It is an amenable number.

25057923263041 is a deficient number, since it is larger than the sum of its proper divisors (1).

25057923263041 is an equidigital number, since it uses as much as digits as its factorization.

25057923263041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2721600, while the sum is 49.

The spelling of 25057923263041 in words is "twenty-five trillion, fifty-seven billion, nine hundred twenty-three million, two hundred sixty-three thousand, forty-one".