82242498625225 has 27 divisors (see below), whose sum is σ = 102293427040767. Its totient is φ = 65592853692480.

The previous prime is 82242498625139. The next prime is 82242498625289. The reversal of 82242498625225 is 52252689424228.

The square root of 82242498625225 is 9068765.

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 36279576702009 + 45962921923216 = 6023253^2 + 6779596^2 .

It is not a de Polignac number, because 82242498625225 - 2¹⁹ = 82242498100937 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15824992327 + ... + 15824997523.

Almost surely, 2^{82242498625225} is an apocalyptic number.

82242498625225 is the 9068765-th square number.

82242498625225 is the 4534383-rd centered octagonal number.

It is an amenable number.

82242498625225 is a deficient number, since it is larger than the sum of its proper divisors (20050928415542).

82242498625225 is an frugal number, since it uses more digits than its factorization.

82242498625225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11102 (or 5551 counting only the distinct ones).

The product of its digits is 88473600, while the sum is 61.

The spelling of 82242498625225 in words is "eighty-two trillion, two hundred forty-two billion, four hundred ninety-eight million, six hundred twenty-five thousand, two hundred twenty-five".