32268733225 has 27 divisors (see below), whose sum is σ = 41166291621. Its totient is φ = 25091416800.

The previous prime is 32268733207. The next prime is 32268733229. The reversal of 32268733225 is 52233786223.

The square root of 32268733225 is 179635.

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 3063290409 + 29205442816 = 55347^2 + 170896^2 .

It is a de Polignac number, because none of the positive numbers 2^k-32268733225 is a prime.

It is a super-3 number, since 3×32268733225³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32268733229) 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, 33231990 + ... + 33232960.

Almost surely, 2^32268733225 is an apocalyptic number.

32268733225 is the 179635-th square number.

32268733225 is the 89818-th centered octagonal number.

It is an amenable number.

32268733225 is a deficient number, since it is larger than the sum of its proper divisors (8897558396).

32268733225 is an frugal number, since it uses more digits than its factorization.

32268733225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2026 (or 1013 counting only the distinct ones).

The product of its digits is 725760, while the sum is 43.

The spelling of 32268733225 in words is "thirty-two billion, two hundred sixty-eight million, seven hundred thirty-three thousand, two hundred twenty-five".