25975875372697 has 2 divisors, whose sum is σ = 25975875372698. Its totient is φ = 25975875372696.

The previous prime is 25975875372661. The next prime is 25975875372719. The reversal of 25975875372697 is 79627357857952.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20154541763161 + 5821333609536 = 4489381^2 + 2412744^2 .

It is a cyclic number.

It is not a de Polignac number, because 25975875372697 - 2²⁷ = 25975741154969 is a prime.

It is a super-2 number, since 2×25975875372697² (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 25975875372697.

It is not a weakly prime, because it can be changed into another prime (25975875372607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12987937686348 + 12987937686349.

It is an arithmetic number, because the mean of its divisors is an integer number (12987937686349).

Almost surely, 2^{25975875372697} is an apocalyptic number.

It is an amenable number.

25975875372697 is a deficient number, since it is larger than the sum of its proper divisors (1).

25975875372697 is an equidigital number, since it uses as much as digits as its factorization.

25975875372697 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 14002632000, while the sum is 82.

The spelling of 25975875372697 in words is "twenty-five trillion, nine hundred seventy-five billion, eight hundred seventy-five million, three hundred seventy-two thousand, six hundred ninety-seven".