197096188419025 has 135 divisors (see below), whose sum is σ = 293199115050501. Its totient is φ = 131050122376320.

The previous prime is 197096188419001. The next prime is 197096188419029. The reversal of 197096188419025 is 520914881690791.

The square root of 197096188419025 is 14039095.

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

It can be written as a sum of positive squares in 22 ways, for example, as 12188191163281 + 184907997255744 = 3491159^2 + 13598088^2 .

It is not a de Polignac number, because 197096188419025 - 2³³ = 197087598484433 is a prime.

It is a super-3 number, since 3×197096188419025³ (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (197096188419029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 672683236779 + ... + 672683237071.

Almost surely, 2^{197096188419025} is an apocalyptic number.

197096188419025 is the 14039095-th square number.

197096188419025 is the 7019548-th centered octagonal number.

It is an amenable number.

197096188419025 is a deficient number, since it is larger than the sum of its proper divisors (96102926631476).

197096188419025 is an frugal number, since it uses more digits than its factorization.

197096188419025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 70.

The spelling of 197096188419025 in words is "one hundred ninety-seven trillion, ninety-six billion, one hundred eighty-eight million, four hundred nineteen thousand, twenty-five".