96482193826225 has 81 divisors (see below), whose sum is σ = 123032018452707. Its totient is φ = 75056111602560.

The previous prime is 96482193826157. The next prime is 96482193826273. The reversal of 96482193826225 is 52262839128469.

The square root of 96482193826225 is 9822535.

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 86935502814241 + 9546691011984 = 9323921^2 + 3089772^2 .

It is not a de Polignac number, because 96482193826225 - 2³⁷ = 96344754872753 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (67).

It is a Duffinian number.

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, 358669865391 + ... + 358669865659.

Almost surely, 2^{96482193826225} is an apocalyptic number.

96482193826225 is the 9822535-th square number.

96482193826225 is the 4911268-th centered octagonal number.

It is an amenable number.

96482193826225 is a deficient number, since it is larger than the sum of its proper divisors (26549824626482).

96482193826225 is an frugal number, since it uses more digits than its factorization.

96482193826225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 450 counting only the distinct ones).

The product of its digits is 179159040, while the sum is 67.

The spelling of 96482193826225 in words is "ninety-six trillion, four hundred eighty-two billion, one hundred ninety-three million, eight hundred twenty-six thousand, two hundred twenty-five".