32864251225 has 27 divisors (see below), whose sum is σ = 44143377303. Its totient is φ = 24260283840.

The previous prime is 32864251157. The next prime is 32864251291. The reversal of 32864251225 is 52215246823.

It is a happy number.

The square root of 32864251225 is 181285.

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 28278794569 + 4585456656 = 168163^2 + 67716^2 .

It is a de Polignac number, because none of the positive numbers 2^k-32864251225 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11782131 + ... + 11784919.

Almost surely, 2^32864251225 is an apocalyptic number.

32864251225 is the 181285-th square number.

32864251225 is the 90643-rd centered octagonal number.

It is an amenable number.

32864251225 is a deficient number, since it is larger than the sum of its proper divisors (11279126078).

32864251225 is an frugal number, since it uses more digits than its factorization.

32864251225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5614 (or 2807 counting only the distinct ones).

The product of its digits is 230400, while the sum is 40.

It can be divided in two parts, 32864 and 251225, that added together give a square (284089 = 533²).

The spelling of 32864251225 in words is "thirty-two billion, eight hundred sixty-four million, two hundred fifty-one thousand, two hundred twenty-five".