197913765625 has 21 divisors (see below), whose sum is σ = 247458570771. Its totient is φ = 158286525000.

The previous prime is 197913765619. The next prime is 197913765649. The reversal of 197913765625 is 526567319791.

It is a happy number.

The square root of 197913765625 is 444875.

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

197913765625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 173391458409 + 24522307216 = 416403^2 + 156596^2 .

It is not a de Polignac number, because 197913765625 - 2⁹ = 197913765113 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 20 ways as a sum of consecutive naturals, for example, 55607596 + ... + 55611154.

Almost surely, 2^197913765625 is an apocalyptic number.

197913765625 is the 444875-th square number.

197913765625 is the 222438-th centered octagonal number.

It is an amenable number.

197913765625 is a deficient number, since it is larger than the sum of its proper divisors (49544805146).

197913765625 is an frugal number, since it uses more digits than its factorization.

197913765625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7148 (or 3564 counting only the distinct ones).

The product of its digits is 21432600, while the sum is 61.

The spelling of 197913765625 in words is "one hundred ninety-seven billion, nine hundred thirteen million, seven hundred sixty-five thousand, six hundred twenty-five".