82067925625 has 45 divisors (see below), whose sum is σ = 119368195419. Its totient is φ = 56240772000.

The previous prime is 82067925623. The next prime is 82067925661. The reversal of 82067925625 is 52652976028.

The square root of 82067925625 is 286475.

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

It can be written as a sum of positive squares in 7 ways, for example, as 81100217961 + 967707664 = 284781^2 + 31108^2 .

It is not a de Polignac number, because 82067925625 - 2¹ = 82067925623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82067925623) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 50132307 + ... + 50133943.

Almost surely, 2^82067925625 is an apocalyptic number.

82067925625 is the 286475-th square number.

82067925625 is the 143238-th centered octagonal number.

It is an amenable number.

82067925625 is a deficient number, since it is larger than the sum of its proper divisors (37300269794).

82067925625 is an frugal number, since it uses more digits than its factorization.

82067925625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3308 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 52.

The spelling of 82067925625 in words is "eighty-two billion, sixty-seven million, nine hundred twenty-five thousand, six hundred twenty-five".