36864873006025 has 27 divisors (see below), whose sum is σ = 45973245263103. Its totient is φ = 29324588155200.

The previous prime is 36864873006023. The next prime is 36864873006041. The reversal of 36864873006025 is 52060037846863.

The square root of 36864873006025 is 6071645.

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

It can be written as a sum of positive squares in 13 ways, for example, as 36261075628089 + 603797377936 = 6021717^2 + 777044^2 .

It is not a de Polignac number, because 36864873006025 - 2¹ = 36864873006023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36864873006023) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 5494835371 + ... + 5494842079.

Almost surely, 2^{36864873006025} is an apocalyptic number.

36864873006025 is the 6071645-th square number.

36864873006025 is the 3035823-rd centered octagonal number.

It is an amenable number.

36864873006025 is a deficient number, since it is larger than the sum of its proper divisors (9108372257078).

36864873006025 is an frugal number, since it uses more digits than its factorization.

36864873006025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13790 (or 6895 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 58.

The spelling of 36864873006025 in words is "thirty-six trillion, eight hundred sixty-four billion, eight hundred seventy-three million, six thousand, twenty-five".