82802940025 has 81 divisors (see below), whose sum is σ = 117846720999. Its totient is φ = 57679914240.

The previous prime is 82802940001. The next prime is 82802940083. The reversal of 82802940025 is 52004920828.

It is a happy number.

The square root of 82802940025 is 287755.

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

It can be written as a sum of positive squares in 13 ways, for example, as 82453399609 + 349540416 = 287147^2 + 18696^2 .

It is not a de Polignac number, because 82802940025 - 2⁷ = 82802939897 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 82802940025.

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, 355377309 + ... + 355377541.

Almost surely, 2^82802940025 is an apocalyptic number.

82802940025 is the 287755-th square number.

82802940025 is the 143878-th centered octagonal number.

It is an amenable number.

82802940025 is a deficient number, since it is larger than the sum of its proper divisors (35043780974).

82802940025 is a wasteful number, since it uses less digits than its factorization.

82802940025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 82802940025 in words is "eighty-two billion, eight hundred two million, nine hundred forty thousand, twenty-five".