1741201564561 has 2 divisors, whose sum is σ = 1741201564562. Its totient is φ = 1741201564560.

The previous prime is 1741201564559. The next prime is 1741201564589. The reversal of 1741201564561 is 1654651021471.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1741185811600 + 15752961 = 1319540^2 + 3969^2 .

It is a cyclic number.

It is not a de Polignac number, because 1741201564561 - 2¹ = 1741201564559 is a prime.

It is a super-2 number, since 2×1741201564561² (a number of 25 digits) contains 22 as substring.

Together with 1741201564559, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1741201564261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 870600782280 + 870600782281.

It is an arithmetic number, because the mean of its divisors is an integer number (870600782281).

Almost surely, 2^{1741201564561} is an apocalyptic number.

It is an amenable number.

1741201564561 is a deficient number, since it is larger than the sum of its proper divisors (1).

1741201564561 is an equidigital number, since it uses as much as digits as its factorization.

1741201564561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 201600, while the sum is 43.

The spelling of 1741201564561 in words is "one trillion, seven hundred forty-one billion, two hundred one million, five hundred sixty-four thousand, five hundred sixty-one".