25468657740593 has 2 divisors, whose sum is σ = 25468657740594. Its totient is φ = 25468657740592.

The previous prime is 25468657740553. The next prime is 25468657740619. The reversal of 25468657740593 is 39504775686452.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22813165873969 + 2655491866624 = 4776313^2 + 1629568^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-25468657740593 is a prime.

It is not a weakly prime, because it can be changed into another prime (25468657740553) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12734328870296 + 12734328870297.

It is an arithmetic number, because the mean of its divisors is an integer number (12734328870297).

Almost surely, 2^{25468657740593} is an apocalyptic number.

It is an amenable number.

25468657740593 is a deficient number, since it is larger than the sum of its proper divisors (1).

25468657740593 is an equidigital number, since it uses as much as digits as its factorization.

25468657740593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1524096000, while the sum is 71.

The spelling of 25468657740593 in words is "twenty-five trillion, four hundred sixty-eight billion, six hundred fifty-seven million, seven hundred forty thousand, five hundred ninety-three".