159997600009 has 27 divisors (see below), whose sum is σ = 179601322719. Its totient is φ = 142462931520.

The previous prime is 159997600003. The next prime is 159997600013. The reversal of 159997600009 is 900006799951.

The square root of 159997600009 is 399997.

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

It can be written as a sum of positive squares in 13 ways, for example, as 111873525625 + 48124074384 = 334475^2 + 219372^2 .

It is not a de Polignac number, because 159997600009 - 2²¹ = 159995502857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (159997600003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 150798339 + ... + 150799399.

Almost surely, 2^159997600009 is an apocalyptic number.

159997600009 is the 399997-th square number.

159997600009 is the 199999-th centered octagonal number.

It is an amenable number.

159997600009 is a deficient number, since it is larger than the sum of its proper divisors (19603722710).

159997600009 is an frugal number, since it uses more digits than its factorization.

159997600009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2206 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 1377810, while the sum is 55.

The spelling of 159997600009 in words is "one hundred fifty-nine billion, nine hundred ninety-seven million, six hundred thousand, nine".