25025917915961 has 2 divisors, whose sum is σ = 25025917915962. Its totient is φ = 25025917915960.

The previous prime is 25025917915931. The next prime is 25025917915963. The reversal of 25025917915961 is 16951971952052.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21148326810361 + 3877591105600 = 4598731^2 + 1969160^2 .

It is a cyclic number.

It is not a de Polignac number, because 25025917915961 - 2²² = 25025913721657 is a prime.

It is a super-2 number, since 2×25025917915961² (a number of 28 digits) contains 22 as substring.

Together with 25025917915963, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 25025917915894 and 25025917915903.

It is not a weakly prime, because it can be changed into another prime (25025917915963) 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, 12512958957980 + 12512958957981.

It is an arithmetic number, because the mean of its divisors is an integer number (12512958957981).

Almost surely, 2^{25025917915961} is an apocalyptic number.

It is an amenable number.

25025917915961 is a deficient number, since it is larger than the sum of its proper divisors (1).

25025917915961 is an equidigital number, since it uses as much as digits as its factorization.

25025917915961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15309000, while the sum is 62.

The spelling of 25025917915961 in words is "twenty-five trillion, twenty-five billion, nine hundred seventeen million, nine hundred fifteen thousand, nine hundred sixty-one".