882688435225 has 27 divisors (see below), whose sum is σ = 1122125568349. Its totient is φ = 688777236800.

The previous prime is 882688435217. The next prime is 882688435231. The reversal of 882688435225 is 522534886288.

It is a happy number.

The square root of 882688435225 is 939515.

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 371537792521 + 511150642704 = 609539^2 + 714948^2 .

It is not a de Polignac number, because 882688435225 - 2³ = 882688435217 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, 192598284 + ... + 192602866.

Almost surely, 2^882688435225 is an apocalyptic number.

882688435225 is the 939515-th square number.

882688435225 is the 469758-th centered octagonal number.

It is an amenable number.

882688435225 is a deficient number, since it is larger than the sum of its proper divisors (239437133124).

882688435225 is an frugal number, since it uses more digits than its factorization.

882688435225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9258 (or 4629 counting only the distinct ones).

The product of its digits is 58982400, while the sum is 61.

The spelling of 882688435225 in words is "eight hundred eighty-two billion, six hundred eighty-eight million, four hundred thirty-five thousand, two hundred twenty-five".