25673193951617 has 2 divisors, whose sum is σ = 25673193951618. Its totient is φ = 25673193951616.

The previous prime is 25673193951577. The next prime is 25673193951679. The reversal of 25673193951617 is 71615939137652.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15672224121856 + 10000969829761 = 3958816^2 + 3162431^2 .

It is a cyclic number.

It is not a de Polignac number, because 25673193951617 - 2³² = 25668898984321 is a prime.

It is a super-2 number, since 2×25673193951617² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (25673193959617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12836596975808 + 12836596975809.

It is an arithmetic number, because the mean of its divisors is an integer number (12836596975809).

Almost surely, 2^{25673193951617} is an apocalyptic number.

It is an amenable number.

25673193951617 is a deficient number, since it is larger than the sum of its proper divisors (1).

25673193951617 is an equidigital number, since it uses as much as digits as its factorization.

25673193951617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 64297800, while the sum is 65.

The spelling of 25673193951617 in words is "twenty-five trillion, six hundred seventy-three billion, one hundred ninety-three million, nine hundred fifty-one thousand, six hundred seventeen".