1755675350361 has 27 divisors (see below), whose sum is σ = 2561918624317. Its totient is φ = 1158596613600.

The previous prime is 1755675350327. The next prime is 1755675350393. The reversal of 1755675350361 is 1630535765571.

The square root of 1755675350361 is 1325019.

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

1755675350361 is a `hidden beast` number, since 1 + 7 + 5 + 5 + 6 + 75 + 3 + 503 + 61 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 661676499225 + 1093998851136 = 813435^2 + 1045944^2 .

It is not a de Polignac number, because 1755675350361 - 2¹⁷ = 1755675219289 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1755675350298 and 1755675350307.

It is not an unprimeable number, because it can be changed into a prime (1755675350311) 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, 401478571 + ... + 401482943.

Almost surely, 2^{1755675350361} is an apocalyptic number.

1755675350361 is the 1325019-th square number.

1755675350361 is the 662510-th centered octagonal number.

It is an amenable number.

1755675350361 is a deficient number, since it is larger than the sum of its proper divisors (806243273956).

1755675350361 is an frugal number, since it uses more digits than its factorization.

1755675350361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8954 (or 4477 counting only the distinct ones).

The product of its (nonzero) digits is 9922500, while the sum is 54.

The spelling of 1755675350361 in words is "one trillion, seven hundred fifty-five billion, six hundred seventy-five million, three hundred fifty thousand, three hundred sixty-one".