25661511602033 has 2 divisors, whose sum is σ = 25661511602034. Its totient is φ = 25661511602032.

The previous prime is 25661511602011. The next prime is 25661511602053. The reversal of 25661511602033 is 33020611516652.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24686260549729 + 975251052304 = 4968527^2 + 987548^2 .

It is a cyclic number.

It is not a de Polignac number, because 25661511602033 - 2⁸ = 25661511601777 is a prime.

It is not a weakly prime, because it can be changed into another prime (25661511602053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12830755801016 + 12830755801017.

It is an arithmetic number, because the mean of its divisors is an integer number (12830755801017).

Almost surely, 2^{25661511602033} is an apocalyptic number.

It is an amenable number.

25661511602033 is a deficient number, since it is larger than the sum of its proper divisors (1).

25661511602033 is an equidigital number, since it uses as much as digits as its factorization.

25661511602033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 194400, while the sum is 41.

The spelling of 25661511602033 in words is "twenty-five trillion, six hundred sixty-one billion, five hundred eleven million, six hundred two thousand, thirty-three".