7725659620817 has 2 divisors, whose sum is σ = 7725659620818. Its totient is φ = 7725659620816.

The previous prime is 7725659620799. The next prime is 7725659621011. The reversal of 7725659620817 is 7180269565277.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7725598014016 + 61606801 = 2779496^2 + 7849^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-7725659620817 is a prime.

It is a super-3 number, since 3×7725659620817³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (7725659620417) 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, 3862829810408 + 3862829810409.

It is an arithmetic number, because the mean of its divisors is an integer number (3862829810409).

Almost surely, 2^{7725659620817} is an apocalyptic number.

It is an amenable number.

7725659620817 is a deficient number, since it is larger than the sum of its proper divisors (1).

7725659620817 is an equidigital number, since it uses as much as digits as its factorization.

7725659620817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 88905600, while the sum is 65.

The spelling of 7725659620817 in words is "seven trillion, seven hundred twenty-five billion, six hundred fifty-nine million, six hundred twenty thousand, eight hundred seventeen".