197525344205641 has 9 divisors (see below), whose sum is σ = 197777223820071. Its totient is φ = 197273785019112.

The previous prime is 197525344205621. The next prime is 197525344205669. The reversal of 197525344205641 is 146502443525791.

The square root of 197525344205641 is 14054371.

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., 85648268983225 + 111877075222416 = 9254635^2 + 10577196^2 .

It is not a de Polignac number, because 197525344205641 - 2⁷ = 197525344205513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (197525344205621) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11566738795 + ... + 11566755871.

It is an arithmetic number, because the mean of its divisors is an integer number (21975247091119).

Almost surely, 2^{197525344205641} is an apocalyptic number.

197525344205641 is the 14054371-st square number.

197525344205641 is the 7027186-th centered octagonal number.

It is an amenable number.

197525344205641 is a deficient number, since it is larger than the sum of its proper divisors (251879614430).

197525344205641 is an frugal number, since it uses more digits than its factorization.

197525344205641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35800 (or 17900 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 58.

The spelling of 197525344205641 in words is "one hundred ninety-seven trillion, five hundred twenty-five billion, three hundred forty-four million, two hundred five thousand, six hundred forty-one".