10205144560225 has 24 divisors (see below), whose sum is σ = 12828772876472. Its totient is φ = 8051621875200.

The previous prime is 10205144560207. The next prime is 10205144560253. The reversal of 10205144560225 is 52206544150201.

It can be written as a sum of positive squares in 12 ways, for example, as 1108834272144 + 9096310288081 = 1053012^2 + 3016009^2 .

It is not a de Polignac number, because 10205144560225 - 2³⁹ = 9655388746337 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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22797055 + ... + 23240395.

Almost surely, 2^{10205144560225} is an apocalyptic number.

It is an amenable number.

10205144560225 is a deficient number, since it is larger than the sum of its proper divisors (2623628316247).

10205144560225 is a wasteful number, since it uses less digits than its factorization.

10205144560225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456037 (or 456032 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 37.

The spelling of 10205144560225 in words is "ten trillion, two hundred five billion, one hundred forty-four million, five hundred sixty thousand, two hundred twenty-five".