882888813768025 has 9 divisors (see below), whose sum is σ = 1094782313295741. Its totient is φ = 706310932160640.

The previous prime is 882888813767981. The next prime is 882888813768037. The reversal of 882888813768025 is 520867318888288.

The square root of 882888813768025 is 29713445.

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 298369414797129 + 584519398970896 = 17273373^2 + 24176836^2 .

It is not a de Polignac number, because 882888813768025 - 2¹⁷ = 882888813636953 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 882888813768025.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 145595881 + ... + 151538569.

Almost surely, 2^{882888813768025} is an apocalyptic number.

882888813768025 is the 29713445-th square number.

882888813768025 is the 14856723-rd centered octagonal number.

It is an amenable number.

882888813768025 is a deficient number, since it is larger than the sum of its proper divisors (211893499527716).

882888813768025 is an frugal number, since it uses more digits than its factorization.

882888813768025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11885388 (or 5942694 counting only the distinct ones).

The product of its (nonzero) digits is 5284823040, while the sum is 82.

The spelling of 882888813768025 in words is "eight hundred eighty-two trillion, eight hundred eighty-eight billion, eight hundred thirteen million, seven hundred sixty-eight thousand, twenty-five".