3968754170261 has 2 divisors, whose sum is σ = 3968754170262. Its totient is φ = 3968754170260.

The previous prime is 3968754170191. The next prime is 3968754170267. The reversal of 3968754170261 is 1620714578693.

3968754170261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2687599572100 + 1281154598161 = 1639390^2 + 1131881^2 .

It is a cyclic number.

It is not a de Polignac number, because 3968754170261 - 2³⁸ = 3693876263317 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3968754170261.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3968754170267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1984377085130 + 1984377085131.

It is an arithmetic number, because the mean of its divisors is an integer number (1984377085131).

It is a 1-persistent number, because it is pandigital, but 2⋅3968754170261 = 7937508340522 is not.

Almost surely, 2^{3968754170261} is an apocalyptic number.

It is an amenable number.

3968754170261 is a deficient number, since it is larger than the sum of its proper divisors (1).

3968754170261 is an equidigital number, since it uses as much as digits as its factorization.

3968754170261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15240960, while the sum is 59.

The spelling of 3968754170261 in words is "three trillion, nine hundred sixty-eight billion, seven hundred fifty-four million, one hundred seventy thousand, two hundred sixty-one".