198560251201 has 27 divisors (see below), whose sum is σ = 217400051043. Its totient is φ = 181270486800.

The previous prime is 198560251159. The next prime is 198560251207. The reversal of 198560251201 is 102152065891.

The square root of 198560251201 is 445601.

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., 29372818225 + 169187432976 = 171385^2 + 411324^2 .

It is not a de Polignac number, because 198560251201 - 2⁹ = 198560250689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (198560251207) 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, 874714650 + ... + 874714876.

Almost surely, 2^198560251201 is an apocalyptic number.

198560251201 is the 445601-st square number.

198560251201 is the 222801-st centered octagonal number.

It is an amenable number.

198560251201 is a deficient number, since it is larger than the sum of its proper divisors (18839799842).

198560251201 is an frugal number, since it uses more digits than its factorization.

198560251201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 40.

The spelling of 198560251201 in words is "one hundred ninety-eight billion, five hundred sixty million, two hundred fifty-one thousand, two hundred one".