82975683025 has 27 divisors (see below), whose sum is σ = 104964356721. Its totient is φ = 65068167840.

The previous prime is 82975683023. The next prime is 82975683097. The reversal of 82975683025 is 52038657928.

The square root of 82975683025 is 288055.

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 625050001 + 82350633024 = 25001^2 + 286968^2 .

It is not a de Polignac number, because 82975683025 - 2¹ = 82975683023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82975683023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 76334032 + ... + 76335118.

Almost surely, 2^82975683025 is an apocalyptic number.

82975683025 is the 288055-th square number.

82975683025 is the 144028-th centered octagonal number.

It is an amenable number.

82975683025 is a deficient number, since it is larger than the sum of its proper divisors (21988673696).

82975683025 is an frugal number, since it uses more digits than its factorization.

82975683025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 55.

The spelling of 82975683025 in words is "eighty-two billion, nine hundred seventy-five million, six hundred eighty-three thousand, twenty-five".