2137827061161 has 99 divisors (see below), whose sum is σ = 3531200109213. Its totient is φ = 1293284112120.

The previous prime is 2137827061147. The next prime is 2137827061169. The reversal of 2137827061161 is 1611607287312.

The square root of 2137827061161 is 1462131.

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

2137827061161 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 8 + 27 + 0 + 611 + 6 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (99).

It is not a de Polignac number, because 2137827061161 - 2⁷ = 2137827061033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2137827061169) by changing a digit.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 3908275890 + ... + 3908276436.

Almost surely, 2^{2137827061161} is an apocalyptic number.

2137827061161 is the 1462131-st square number.

2137827061161 is the 731066-th centered octagonal number.

It is an amenable number.

2137827061161 is a deficient number, since it is larger than the sum of its proper divisors (1393373048052).

2137827061161 is an frugal number, since it uses more digits than its factorization.

2137827061161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 2137827061161 in words is "two trillion, one hundred thirty-seven billion, eight hundred twenty-seven million, sixty-one thousand, one hundred sixty-one".