189202638459025 has 27 divisors (see below), whose sum is σ = 235930150599633. Its totient is φ = 150515952343200.

The previous prime is 189202638459011. The next prime is 189202638459113. The reversal of 189202638459025 is 520954836202981.

The square root of 189202638459025 is 13755095.

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

It can be written as a sum of positive squares in 4 ways, for example, as 101544659301969 + 87657979157056 = 10076937^2 + 9362584^2 .

It is not a de Polignac number, because 189202638459025 - 2¹⁵ = 189202638426257 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 (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12448353376 + ... + 12448368574.

Almost surely, 2^{189202638459025} is an apocalyptic number.

189202638459025 is the 13755095-th square number.

189202638459025 is the 6877548-th centered octagonal number.

It is an amenable number.

189202638459025 is a deficient number, since it is larger than the sum of its proper divisors (46727512140608).

189202638459025 is an frugal number, since it uses more digits than its factorization.

189202638459025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30770 (or 15385 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 64.

The spelling of 189202638459025 in words is "one hundred eighty-nine trillion, two hundred two billion, six hundred thirty-eight million, four hundred fifty-nine thousand, twenty-five".