82889289025 has 27 divisors (see below), whose sum is σ = 104379456099. Its totient is φ = 65296854000.

The previous prime is 82889289001. The next prime is 82889289029. The reversal of 82889289025 is 52098298828.

The square root of 82889289025 is 287905.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 29840144049 + 53049144976 = 172743^2 + 230324^2 .

It is not a de Polignac number, because 82889289025 - 2⁷ = 82889288897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82889289029) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 102205870 + ... + 102206680.

Almost surely, 2^82889289025 is an apocalyptic number.

82889289025 is the 287905-th square number.

82889289025 is the 143953-rd centered octagonal number.

It is an amenable number.

82889289025 is a deficient number, since it is larger than the sum of its proper divisors (21490167074).

82889289025 is an frugal number, since it uses more digits than its factorization.

82889289025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 61.

The spelling of 82889289025 in words is "eighty-two billion, eight hundred eighty-nine million, two hundred eighty-nine thousand, twenty-five".