25656328518593 has 2 divisors, whose sum is σ = 25656328518594. Its totient is φ = 25656328518592.

The previous prime is 25656328518559. The next prime is 25656328518617. The reversal of 25656328518593 is 39581582365652.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23448227621569 + 2208100897024 = 4842337^2 + 1485968^2 .

It is a cyclic number.

It is not a de Polignac number, because 25656328518593 - 2¹⁰ = 25656328517569 is a prime.

It is not a weakly prime, because it can be changed into another prime (25656328512593) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12828164259296 + 12828164259297.

It is an arithmetic number, because the mean of its divisors is an integer number (12828164259297).

Almost surely, 2^{25656328518593} is an apocalyptic number.

It is an amenable number.

25656328518593 is a deficient number, since it is larger than the sum of its proper divisors (1).

25656328518593 is an equidigital number, since it uses as much as digits as its factorization.

25656328518593 is an evil number, because the sum of its binary digits is even.

The product of its digits is 466560000, while the sum is 68.

The spelling of 25656328518593 in words is "twenty-five trillion, six hundred fifty-six billion, three hundred twenty-eight million, five hundred eighteen thousand, five hundred ninety-three".