82332848325025 has 9 divisors (see below), whose sum is σ = 102092788180281. Its totient is φ = 65866242365040.

The previous prime is 82332848325023. The next prime is 82332848325043. The reversal of 82332848325025 is 52052384823328.

It is a happy number.

The square root of 82332848325025 is 9073745.

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 14432347814049 + 67900500510976 = 3798993^2 + 8240176^2 .

It is not a de Polignac number, because 82332848325025 - 2¹ = 82332848325023 is a prime.

It is a super-4 number, since 4×82332848325025⁴ (a number of 57 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82332848325023) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 44461351 + ... + 46276099.

Almost surely, 2^{82332848325025} is an apocalyptic number.

82332848325025 is the 9073745-th square number.

82332848325025 is the 4536873-rd centered octagonal number.

It is an amenable number.

82332848325025 is a deficient number, since it is larger than the sum of its proper divisors (19759939855256).

82332848325025 is an frugal number, since it uses more digits than its factorization.

82332848325025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3629508 (or 1814754 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 55.

The spelling of 82332848325025 in words is "eighty-two trillion, three hundred thirty-two billion, eight hundred forty-eight million, three hundred twenty-five thousand, twenty-five".