203579219798161 has 81 divisors (see below), whose sum is σ = 221859622294779. Its totient is φ = 186787256032608.

The previous prime is 203579219798137. The next prime is 203579219798173. The reversal of 203579219798161 is 161897912975302.

The square root of 203579219798161 is 14268119.

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., 199466614260225 + 4112605537936 = 14123265^2 + 2027956^2 .

It is not a de Polignac number, because 203579219798161 - 2⁷ = 203579219798033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (203579219798111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1033397054715 + ... + 1033397054911.

Almost surely, 2^{203579219798161} is an apocalyptic number.

203579219798161 is the 14268119-th square number.

203579219798161 is the 7134060-th centered octagonal number.

It is an amenable number.

203579219798161 is a deficient number, since it is larger than the sum of its proper divisors (18280402496618).

203579219798161 is an frugal number, since it uses more digits than its factorization.

203579219798161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 102876480, while the sum is 70.

The spelling of 203579219798161 in words is "two hundred three trillion, five hundred seventy-nine billion, two hundred nineteen million, seven hundred ninety-eight thousand, one hundred sixty-one".