36003165025 has 27 divisors (see below), whose sum is σ = 45135111819. Its totient is φ = 28489073280.

The previous prime is 36003165013. The next prime is 36003165031. The reversal of 36003165025 is 52056130063.

The square root of 36003165025 is 189745.

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 31195684129 + 4807480896 = 176623^2 + 69336^2 .

It is not a de Polignac number, because 36003165025 - 2⁹ = 36003164513 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, 129975187 + ... + 129975463.

Almost surely, 2^36003165025 is an apocalyptic number.

36003165025 is the 189745-th square number.

36003165025 is the 94873-rd centered octagonal number.

It is an amenable number.

36003165025 is a deficient number, since it is larger than the sum of its proper divisors (9131946794).

36003165025 is an frugal number, since it uses more digits than its factorization.

36003165025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 31.

Adding to 36003165025 its reverse (52056130063), we get a palindrome (88059295088).

The spelling of 36003165025 in words is "thirty-six billion, three million, one hundred sixty-five thousand, twenty-five".