25832752577617 has 2 divisors, whose sum is σ = 25832752577618. Its totient is φ = 25832752577616.

The previous prime is 25832752577563. The next prime is 25832752577689. The reversal of 25832752577617 is 71677525723852.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18485665854016 + 7347086723601 = 4299496^2 + 2710551^2 .

It is a cyclic number.

It is not a de Polignac number, because 25832752577617 - 2³⁹ = 25282996763729 is a prime.

It is a super-2 number, since 2×25832752577617² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (25832752577117) 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, 12916376288808 + 12916376288809.

It is an arithmetic number, because the mean of its divisors is an integer number (12916376288809).

Almost surely, 2^{25832752577617} is an apocalyptic number.

It is an amenable number.

25832752577617 is a deficient number, since it is larger than the sum of its proper divisors (1).

25832752577617 is an equidigital number, since it uses as much as digits as its factorization.

25832752577617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 345744000, while the sum is 67.

The spelling of 25832752577617 in words is "twenty-five trillion, eight hundred thirty-two billion, seven hundred fifty-two million, five hundred seventy-seven thousand, six hundred seventeen".