1290539168361 has 27 divisors (see below), whose sum is σ = 1882228412701. Its totient is φ = 852077867064.

The previous prime is 1290539168341. The next prime is 1290539168363. The reversal of 1290539168361 is 1638619350921.

The square root of 1290539168361 is 1136019.

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

1290539168361 is a `hidden beast` number, since 1 + 2 + 90 + 5 + 39 + 168 + 361 = 666.

It is not a de Polignac number, because 1290539168361 - 2²¹ = 1290537071209 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1290539168298 and 1290539168307.

It is not an unprimeable number, because it can be changed into a prime (1290539168363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 364660330 + ... + 364663868.

Almost surely, 2^{1290539168361} is an apocalyptic number.

1290539168361 is the 1136019-th square number.

1290539168361 is the 568010-th centered octagonal number.

It is an amenable number.

1290539168361 is a deficient number, since it is larger than the sum of its proper divisors (591689244340).

1290539168361 is an frugal number, since it uses more digits than its factorization.

1290539168361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7298 (or 3649 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 1290539168361 in words is "one trillion, two hundred ninety billion, five hundred thirty-nine million, one hundred sixty-eight thousand, three hundred sixty-one".