197217055473201 has 81 divisors (see below), whose sum is σ = 290876399217859. Its totient is φ = 128762464917504.

The previous prime is 197217055473181. The next prime is 197217055473203. The reversal of 197217055473201 is 102374550712791.

The square root of 197217055473201 is 14043399.

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

197217055473201 is a `hidden beast` number, since 1 + 9 + 7 + 2 + 1 + 70 + 5 + 547 + 3 + 20 + 1 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 196057824264225 + 1159231208976 = 14002065^2 + 1076676^2 .

It is not a de Polignac number, because 197217055473201 - 2¹³ = 197217055465009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (197217055473203) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 558688542241 + ... + 558688542593.

Almost surely, 2^{197217055473201} is an apocalyptic number.

197217055473201 is the 14043399-th square number.

197217055473201 is the 7021700-th centered octagonal number.

It is an amenable number.

197217055473201 is a deficient number, since it is larger than the sum of its proper divisors (93659343744658).

197217055473201 is an frugal number, since it uses more digits than its factorization.

197217055473201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 54.

The spelling of 197217055473201 in words is "one hundred ninety-seven trillion, two hundred seventeen billion, fifty-five million, four hundred seventy-three thousand, two hundred one".