25917247882681 has 2 divisors, whose sum is σ = 25917247882682. Its totient is φ = 25917247882680.

The previous prime is 25917247882661. The next prime is 25917247882727. The reversal of 25917247882681 is 18628874271952.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18248275240000 + 7668972642681 = 4271800^2 + 2769291^2 .

It is a cyclic number.

It is not a de Polignac number, because 25917247882681 - 2¹⁹ = 25917247358393 is a prime.

It is a super-2 number, since 2×25917247882681² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 25917247882681.

It is not a weakly prime, because it can be changed into another prime (25917247882661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12958623941340 + 12958623941341.

It is an arithmetic number, because the mean of its divisors is an integer number (12958623941341).

Almost surely, 2^{25917247882681} is an apocalyptic number.

It is an amenable number.

25917247882681 is a deficient number, since it is larger than the sum of its proper divisors (1).

25917247882681 is an equidigital number, since it uses as much as digits as its factorization.

25917247882681 is an evil number, because the sum of its binary digits is even.

The product of its digits is 216760320, while the sum is 70.

The spelling of 25917247882681 in words is "twenty-five trillion, nine hundred seventeen billion, two hundred forty-seven million, eight hundred eighty-two thousand, six hundred eighty-one".