197557558137289 has 27 divisors (see below), whose sum is σ = 238013097798567. Its totient is φ = 163493548855728.

The previous prime is 197557558137229. The next prime is 197557558137337. The reversal of 197557558137289 is 982731855755791.

The square root of 197557558137289 is 14055517.

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

197557558137289 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 only one way, i.e., 103594391365689 + 93963166771600 = 10178133^2 + 9693460^2 .

It is not a de Polignac number, because 197557558137289 - 2²¹ = 197557556040137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (197557558137229) 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, 2853235332 + ... + 2853304570.

Almost surely, 2^{197557558137289} is an apocalyptic number.

197557558137289 is the 14055517-th square number.

197557558137289 is the 7027759-th centered octagonal number.

It is an amenable number.

197557558137289 is a deficient number, since it is larger than the sum of its proper divisors (40455539661278).

197557558137289 is an frugal number, since it uses more digits than its factorization.

197557558137289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138550 (or 69275 counting only the distinct ones).

The product of its digits is 6667920000, while the sum is 82.

The spelling of 197557558137289 in words is "one hundred ninety-seven trillion, five hundred fifty-seven billion, five hundred fifty-eight million, one hundred thirty-seven thousand, two hundred eighty-nine".