5566537141201 has 9 divisors (see below), whose sum is σ = 5662625953051. Its totient is φ = 5472052211704.

The previous prime is 5566537141177. The next prime is 5566537141219. The reversal of 5566537141201 is 1021417356655.

The square root of 5566537141201 is 2359351.

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

It can be written as a sum of positive squares in only one way, i.e., 867787265601 + 4698749875600 = 931551^2 + 2167660^2 .

It is not a de Polignac number, because 5566537141201 - 2¹⁹ = 5566536616913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5566537141271) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 139181715 + ... + 139221703.

Almost surely, 2^{5566537141201} is an apocalyptic number.

5566537141201 is the 2359351-st square number.

5566537141201 is the 1179676-th centered octagonal number.

It is an amenable number.

5566537141201 is a deficient number, since it is larger than the sum of its proper divisors (96088811850).

5566537141201 is an frugal number, since it uses more digits than its factorization.

5566537141201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80096 (or 40048 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 46.

The spelling of 5566537141201 in words is "five trillion, five hundred sixty-six billion, five hundred thirty-seven million, one hundred forty-one thousand, two hundred one".