1761005966841 has 27 divisors (see below), whose sum is σ = 2796010133007. Its totient is φ = 1067249802960.

The previous prime is 1761005966813. The next prime is 1761005966843. The reversal of 1761005966841 is 1486695001671.

The square root of 1761005966841 is 1327029.

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

1761005966841 is a `hidden beast` number, since 1 + 7 + 6 + 1 + 0 + 0 + 596 + 6 + 8 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 780121730025 + 980884236816 = 883245^2 + 990396^2 .

It is not a de Polignac number, because 1761005966841 - 2²¹ = 1761003869689 is a prime.

It is a super-2 number, since 2×1761005966841² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1761005966843) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 43771851 + ... + 43812063.

Almost surely, 2^{1761005966841} is an apocalyptic number.

1761005966841 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1761005966841 is the 1327029-th square number.

1761005966841 is the 663515-th centered octagonal number.

It is an amenable number.

1761005966841 is a deficient number, since it is larger than the sum of its proper divisors (1035004166166).

1761005966841 is an frugal number, since it uses more digits than its factorization.

1761005966841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80454 (or 40227 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 1761005966841 in words is "one trillion, seven hundred sixty-one billion, five million, nine hundred sixty-six thousand, eight hundred forty-one".