197006180020321 has 27 divisors (see below), whose sum is σ = 241869170252691. Its totient is φ = 159973427298384.

The previous prime is 197006180020289. The next prime is 197006180020399. The reversal of 197006180020321 is 123020081600791.

The square root of 197006180020321 is 14035889.

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., 183441425843025 + 13564754177296 = 13544055^2 + 3683036^2 .

It is not a de Polignac number, because 197006180020321 - 2⁵ = 197006180020289 is a prime.

It is a super-2 number, since 2×197006180020321² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (197006180420321) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1866720471 + ... + 1866826003.

Almost surely, 2^{197006180020321} is an apocalyptic number.

197006180020321 is the 14035889-th square number.

197006180020321 is the 7017945-th centered octagonal number.

It is an amenable number.

197006180020321 is a deficient number, since it is larger than the sum of its proper divisors (44862990232370).

197006180020321 is an frugal number, since it uses more digits than its factorization.

197006180020321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211118 (or 105559 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The spelling of 197006180020321 in words is "one hundred ninety-seven trillion, six billion, one hundred eighty million, twenty thousand, three hundred twenty-one".