197353468545025 has 27 divisors (see below), whose sum is σ = 264992049065961. Its totient is φ = 145737271686240.

The previous prime is 197353468545019. The next prime is 197353468545043. The reversal of 197353468545025 is 520545864353791.

The square root of 197353468545025 is 14048255.

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

It can be written as a sum of positive squares in 4 ways, for example, as 50868148460481 + 146485320084544 = 7132191^2 + 12103112^2 .

It is not a de Polignac number, because 197353468545025 - 2⁵ = 197353468544993 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 913028512 + ... + 913244638.

It is a 1-persistent number, because it is pandigital, but 2⋅197353468545025 = 394706937090050 is not.

Almost surely, 2^{197353468545025} is an apocalyptic number.

197353468545025 is the 14048255-th square number.

197353468545025 is the 7024128-th centered octagonal number.

It is an amenable number.

197353468545025 is a deficient number, since it is larger than the sum of its proper divisors (67638580520936).

197353468545025 is an frugal number, since it uses more digits than its factorization.

197353468545025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432290 (or 216145 counting only the distinct ones).

The product of its (nonzero) digits is 544320000, while the sum is 67.

The spelling of 197353468545025 in words is "one hundred ninety-seven trillion, three hundred fifty-three billion, four hundred sixty-eight million, five hundred forty-five thousand, twenty-five".