2066892153561 has 27 divisors (see below), whose sum is σ = 3100355394591. Its totient is φ = 1377850468248.

The previous prime is 2066892153559. The next prime is 2066892153563. The reversal of 2066892153561 is 1653512986602.

The square root of 2066892153561 is 1437669.

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

2066892153561 is a `hidden beast` number, since 2 + 0 + 6 + 6 + 8 + 9 + 21 + 53 + 561 = 666.

It is an interprime number because it is at equal distance from previous prime (2066892153559) and next prime (2066892153563).

It can be written as a sum of positive squares in only one way, i.e., 121369321161 + 1945522832400 = 348381^2 + 1394820^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 2066892153561 - 2¹ = 2066892153559 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2066892153498 and 2066892153507.

It is not an unprimeable number, because it can be changed into a prime (2066892153563) 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 26 ways as a sum of consecutive naturals, for example, 116442315 + ... + 116460063.

Almost surely, 2^{2066892153561} is an apocalyptic number.

2066892153561 is the 1437669-th square number.

2066892153561 is the 718835-th centered octagonal number.

It is an amenable number.

2066892153561 is a deficient number, since it is larger than the sum of its proper divisors (1033463241030).

2066892153561 is an frugal number, since it uses more digits than its factorization.

2066892153561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35522 (or 17752 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 2066892153561 in words is "two trillion, sixty-six billion, eight hundred ninety-two million, one hundred fifty-three thousand, five hundred sixty-one".