197250255465561 has 135 divisors (see below), whose sum is σ = 309254379201999. Its totient is φ = 125288898184800.

The previous prime is 197250255465551. The next prime is 197250255465563. The reversal of 197250255465561 is 165564552052791.

The square root of 197250255465561 is 14044581.

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

197250255465561 is a `hidden beast` number, since 1 + 9 + 7 + 2 + 5 + 0 + 2 + 5 + 5 + 4 + 65 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26322348341961 + 170927907123600 = 5130531^2 + 13073940^2 .

It is not a de Polignac number, because 197250255465561 - 2¹³ = 197250255457369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (197250255465563) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 278209104675 + ... + 278209105383.

Almost surely, 2^{197250255465561} is an apocalyptic number.

197250255465561 is the 14044581-st square number.

197250255465561 is the 7022291-st centered octagonal number.

It is an amenable number.

197250255465561 is a deficient number, since it is larger than the sum of its proper divisors (112004123736438).

197250255465561 is an frugal number, since it uses more digits than its factorization.

197250255465561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 113400000, while the sum is 63.

The spelling of 197250255465561 in words is "one hundred ninety-seven trillion, two hundred fifty billion, two hundred fifty-five million, four hundred sixty-five thousand, five hundred sixty-one".