25026356596961 has 2 divisors, whose sum is σ = 25026356596962. Its totient is φ = 25026356596960.

The previous prime is 25026356596909. The next prime is 25026356596991. The reversal of 25026356596961 is 16969565362052.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25003560126736 + 22796470225 = 5000356^2 + 150985^2 .

It is a cyclic number.

It is not a de Polignac number, because 25026356596961 - 2¹⁸ = 25026356334817 is a prime.

It is not a weakly prime, because it can be changed into another prime (25026356596991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12513178298480 + 12513178298481.

It is an arithmetic number, because the mean of its divisors is an integer number (12513178298481).

Almost surely, 2^{25026356596961} is an apocalyptic number.

It is an amenable number.

25026356596961 is a deficient number, since it is larger than the sum of its proper divisors (1).

25026356596961 is an equidigital number, since it uses as much as digits as its factorization.

25026356596961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 157464000, while the sum is 65.

The spelling of 25026356596961 in words is "twenty-five trillion, twenty-six billion, three hundred fifty-six million, five hundred ninety-six thousand, nine hundred sixty-one".