2701417821961 has 2 divisors, whose sum is σ = 2701417821962. Its totient is φ = 2701417821960.

The previous prime is 2701417821959. The next prime is 2701417821989. The reversal of 2701417821961 is 1691287141072.

2701417821961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2389111205625 + 312306616336 = 1545675^2 + 558844^2 .

It is a cyclic number.

It is not a de Polignac number, because 2701417821961 - 2¹ = 2701417821959 is a prime.

Together with 2701417821959, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2701417821941) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1350708910980 + 1350708910981.

It is an arithmetic number, because the mean of its divisors is an integer number (1350708910981).

Almost surely, 2^{2701417821961} is an apocalyptic number.

It is an amenable number.

2701417821961 is a deficient number, since it is larger than the sum of its proper divisors (1).

2701417821961 is an equidigital number, since it uses as much as digits as its factorization.

2701417821961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 338688, while the sum is 49.

The spelling of 2701417821961 in words is "two trillion, seven hundred one billion, four hundred seventeen million, eight hundred twenty-one thousand, nine hundred sixty-one".