199625772025 has 27 divisors (see below), whose sum is σ = 249363752589. Its totient is φ = 158530014720.

The previous prime is 199625772013. The next prime is 199625772043. The reversal of 199625772025 is 520277526991.

The square root of 199625772025 is 446795.

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 32105830761 + 167519941264 = 179181^2 + 409292^2 .

It is not a de Polignac number, because 199625772025 - 2⁷ = 199625771897 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 431156944 + ... + 431157406.

Almost surely, 2^199625772025 is an apocalyptic number.

199625772025 is the 446795-th square number.

199625772025 is the 223398-th centered octagonal number.

It is an amenable number.

199625772025 is a deficient number, since it is larger than the sum of its proper divisors (49737980564).

199625772025 is an frugal number, since it uses more digits than its factorization.

199625772025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 55.

The spelling of 199625772025 in words is "one hundred ninety-nine billion, six hundred twenty-five million, seven hundred seventy-two thousand, twenty-five".