199947594025 has 9 divisors (see below), whose sum is σ = 247937788983. Its totient is φ = 159956286600.

The previous prime is 199947594017. The next prime is 199947594061. The reversal of 199947594025 is 520495749991.

The square root of 199947594025 is 447155.

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

199947594025 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., 71981133849 + 127966460176 = 268293^2 + 357724^2 .

It is not a de Polignac number, because 199947594025 - 2³ = 199947594017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 2191060 + ... + 2280490.

Almost surely, 2^199947594025 is an apocalyptic number.

199947594025 is the 447155-th square number.

199947594025 is the 223578-th centered octagonal number.

It is an amenable number.

199947594025 is a deficient number, since it is larger than the sum of its proper divisors (47990194958).

199947594025 is an frugal number, since it uses more digits than its factorization.

199947594025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178872 (or 89436 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 64.

Multiplying 199947594025 by its sum of digits (64), we get a square (12796646017600 = 3577240²).

It can be divided in two parts, 19994759 and 4025, that added together give a square (19998784 = 4472²).

The spelling of 199947594025 in words is "one hundred ninety-nine billion, nine hundred forty-seven million, five hundred ninety-four thousand, twenty-five".