199104256521 has 45 divisors (see below), whose sum is σ = 304769446839. Its totient is φ = 129536838144.

The previous prime is 199104256511. The next prime is 199104256531. The reversal of 199104256521 is 125652401991.

The square root of 199104256521 is 446211.

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

199104256521 is a `hidden beast` number, since 1 + 99 + 10 + 4 + 25 + 6 + 521 = 666.

199104256521 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (199104256511) and next prime (199104256531).

It can be written as a sum of positive squares in only one way, i.e., 157351055625 + 41753200896 = 396675^2 + 204336^2 .

It is a de Polignac number, because none of the positive numbers 2^k-199104256521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (199104256511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 172683081 + ... + 172684233.

Almost surely, 2^199104256521 is an apocalyptic number.

199104256521 is the 446211-st square number.

199104256521 is the 223106-th centered octagonal number.

It is an amenable number.

199104256521 is a deficient number, since it is larger than the sum of its proper divisors (105665190318).

199104256521 is an frugal number, since it uses more digits than its factorization.

199104256521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2404 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

It can be divided in two parts, 199104 and 256521, that added together give a square (455625 = 675²).

The spelling of 199104256521 in words is "one hundred ninety-nine billion, one hundred four million, two hundred fifty-six thousand, five hundred twenty-one".