32688262543225 has 9 divisors (see below), whose sum is σ = 40533481001293. Its totient is φ = 26150587165120.

The previous prime is 32688262543199. The next prime is 32688262543229. The reversal of 32688262543225 is 52234526288623.

The square root of 32688262543225 is 5717365.

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 2895398318569 + 29792864224656 = 1701587^2 + 5458284^2 .

It is not a de Polignac number, because 32688262543225 - 2²³ = 32688254154617 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 32688262543225.

It is not an unprimeable number, because it can be changed into a prime (32688262543229) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 28015089 + ... + 29158561.

Almost surely, 2^{32688262543225} is an apocalyptic number.

32688262543225 is the 5717365-th square number.

32688262543225 is the 2858683-rd centered octagonal number.

It is an amenable number.

32688262543225 is a deficient number, since it is larger than the sum of its proper divisors (7845218458068).

32688262543225 is an frugal number, since it uses more digits than its factorization.

32688262543225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2286956 (or 1143478 counting only the distinct ones).

The product of its digits is 66355200, while the sum is 58.

The spelling of 32688262543225 in words is "thirty-two trillion, six hundred eighty-eight billion, two hundred sixty-two million, five hundred forty-three thousand, two hundred twenty-five".