1765627055361 has 135 divisors (see below), whose sum is σ = 2938001019723. Its totient is φ = 1056211902720.

The previous prime is 1765627055351. The next prime is 1765627055363. The reversal of 1765627055361 is 1635507265671.

The square root of 1765627055361 is 1328769.

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

1765627055361 is a `hidden beast` number, since 1 + 7 + 6 + 5 + 6 + 27 + 0 + 553 + 61 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 1319670215361 + 445956840000 = 1148769^2 + 667800^2 .

It is not a de Polignac number, because 1765627055361 - 2³⁵ = 1731267316993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1765627055298 and 1765627055307.

It is not an unprimeable number, because it can be changed into a prime (1765627055363) 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 134 ways as a sum of consecutive naturals, for example, 6374104755 + ... + 6374105031.

Almost surely, 2^{1765627055361} is an apocalyptic number.

1765627055361 is the 1328769-th square number.

1765627055361 is the 664385-th centered octagonal number.

It is an amenable number.

1765627055361 is a deficient number, since it is larger than the sum of its proper divisors (1172373964362).

1765627055361 is an frugal number, since it uses more digits than its factorization.

1765627055361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The spelling of 1765627055361 in words is "one trillion, seven hundred sixty-five billion, six hundred twenty-seven million, fifty-five thousand, three hundred sixty-one".