97044860788225 has 81 divisors (see below), whose sum is σ = 141002687969787. Its totient is φ = 66063445109760.

The previous prime is 97044860788181. The next prime is 97044860788259. The reversal of 97044860788225 is 52288706844079.

The square root of 97044860788225 is 9851135.

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 93615667919361 + 3429192868864 = 9675519^2 + 1851808^2 .

It is not a de Polignac number, because 97044860788225 - 2¹⁵ = 97044860755457 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 51373668081 + ... + 51373669969.

Almost surely, 2^{97044860788225} is an apocalyptic number.

97044860788225 is the 9851135-th square number.

97044860788225 is the 4925568-th centered octagonal number.

It is an amenable number.

97044860788225 is a deficient number, since it is larger than the sum of its proper divisors (43957827181562).

97044860788225 is an frugal number, since it uses more digits than its factorization.

97044860788225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4100 (or 2050 counting only the distinct ones).

The product of its (nonzero) digits is 433520640, while the sum is 70.

The spelling of 97044860788225 in words is "ninety-seven trillion, forty-four billion, eight hundred sixty million, seven hundred eighty-eight thousand, two hundred twenty-five".