199193281552225 has 9 divisors (see below), whose sum is σ = 246999756629017. Its totient is φ = 159354568787440.

The previous prime is 199193281552217. The next prime is 199193281552247. The reversal of 199193281552225 is 522255182391991.

The square root of 199193281552225 is 14113585.

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 576799237729 + 198616482314496 = 759473^2 + 14093136^2 .

It is not a de Polignac number, because 199193281552225 - 2³ = 199193281552217 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 69156567 + ... + 71979283.

Almost surely, 2^{199193281552225} is an apocalyptic number.

199193281552225 is the 14113585-th square number.

199193281552225 is the 7056793-rd centered octagonal number.

It is an amenable number.

199193281552225 is a deficient number, since it is larger than the sum of its proper divisors (47806475076792).

199193281552225 is an frugal number, since it uses more digits than its factorization.

199193281552225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5645444 (or 2822722 counting only the distinct ones).

The product of its digits is 34992000, while the sum is 64.

The spelling of 199193281552225 in words is "one hundred ninety-nine trillion, one hundred ninety-three billion, two hundred eighty-one million, five hundred fifty-two thousand, two hundred twenty-five".