82509690025 has 81 divisors (see below), whose sum is σ = 123698628261. Its totient is φ = 54434076480.

The previous prime is 82509689963. The next prime is 82509690079. The reversal of 82509690025 is 52009690528.

It is a happy number.

The square root of 82509690025 is 287245.

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 1134140329 + 81375549696 = 33677^2 + 285264^2 .

It is not a de Polignac number, because 82509690025 - 2⁷ = 82509689897 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 291553534 + ... + 291553816.

Almost surely, 2^82509690025 is an apocalyptic number.

82509690025 is the 287245-th square number.

82509690025 is the 143623-rd centered octagonal number.

It is an amenable number.

82509690025 is a deficient number, since it is larger than the sum of its proper divisors (41188938236).

82509690025 is an equidigital number, since it uses as much as digits as its factorization.

82509690025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 46.

The spelling of 82509690025 in words is "eighty-two billion, five hundred nine million, six hundred ninety thousand, twenty-five".