1761913771641 has 9 divisors (see below), whose sum is σ = 2544992310991. Its totient is φ = 1174606526352.

The previous prime is 1761913771609. The next prime is 1761913771663. The reversal of 1761913771641 is 1461773191671.

The square root of 1761913771641 is 1327371.

It is a perfect power (a square), and thus also a powerful number.

1761913771641 is a `hidden beast` number, since 1 + 7 + 619 + 1 + 3 + 7 + 7 + 16 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 901293903225 + 860619868416 = 949365^2 + 927696^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1761913771641 - 2⁵ = 1761913771609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1761913771141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3760885 + ... + 4203341.

Almost surely, 2^{1761913771641} is an apocalyptic number.

1761913771641 is the 1327371-st square number.

1761913771641 is the 663686-th centered octagonal number.

It is an amenable number.

1761913771641 is a deficient number, since it is larger than the sum of its proper divisors (783078539350).

1761913771641 is an frugal number, since it uses more digits than its factorization.

1761913771641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884920 (or 442460 counting only the distinct ones).

The product of its digits is 1333584, while the sum is 54.

The spelling of 1761913771641 in words is "one trillion, seven hundred sixty-one billion, nine hundred thirteen million, seven hundred seventy-one thousand, six hundred forty-one".