73303306210225 has 243 divisors, whose sum is σ = 118503270092961. Its totient is φ = 44827874582400.

The previous prime is 73303306210187. The next prime is 73303306210237. The reversal of 73303306210225 is 52201260330337.

The square root of 73303306210225 is 8561735.

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 18894035612529 + 54409270597696 = 4346727^2 + 7376264^2 .

It is not a de Polignac number, because 73303306210225 - 2¹¹ = 73303306208177 is a prime.

It is a super-2 number, since 2×73303306210225² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 120763271872 + ... + 120763272478.

Almost surely, 2^{73303306210225} is an apocalyptic number.

73303306210225 is the 8561735-th square number.

73303306210225 is the 4280868-th centered octagonal number.

It is an amenable number.

73303306210225 is a deficient number, since it is larger than the sum of its proper divisors (45199963882736).

73303306210225 is an equidigital number, since it uses as much as digits as its factorization.

73303306210225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 37.

The spelling of 73303306210225 in words is "seventy-three trillion, three hundred three billion, three hundred six million, two hundred ten thousand, two hundred twenty-five".