36288345025 has 27 divisors (see below), whose sum is σ = 46533768393. Its totient is φ = 28071343200.

The previous prime is 36288345011. The next prime is 36288345089. The reversal of 36288345025 is 52054388263.

The square root of 36288345025 is 190495.

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 9253093249 + 27035251776 = 96193^2 + 164424^2 .

It is not a de Polignac number, because 36288345025 - 2¹⁷ = 36288213953 is a prime.

It is a super-3 number, since 3×36288345025³ (a number of 33 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

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, 29526111 + ... + 29527339.

Almost surely, 2^36288345025 is an apocalyptic number.

36288345025 is the 190495-th square number.

36288345025 is the 95248-th centered octagonal number.

It is an amenable number.

36288345025 is a deficient number, since it is larger than the sum of its proper divisors (10245423368).

36288345025 is an frugal number, since it uses more digits than its factorization.

36288345025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2530 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 46.

The spelling of 36288345025 in words is "thirty-six billion, two hundred eighty-eight million, three hundred forty-five thousand, twenty-five".