97066518025 has 9 divisors (see below), whose sum is σ = 120364414023. Its totient is φ = 77651968200.

The previous prime is 97066517959. The next prime is 97066518053. The reversal of 97066518025 is 52081566079.

The square root of 97066518025 is 311555.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 34943946489 + 62122571536 = 186933^2 + 249244^2 .

It is not a de Polignac number, because 97066518025 - 2³¹ = 94919034377 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 97066518025.

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 8 ways as a sum of consecutive naturals, for example, 1526620 + ... + 1588930.

Almost surely, 2^97066518025 is an apocalyptic number.

97066518025 is the 311555-th square number.

97066518025 is the 155778-th centered octagonal number.

It is an amenable number.

97066518025 is a deficient number, since it is larger than the sum of its proper divisors (23297895998).

97066518025 is an frugal number, since it uses more digits than its factorization.

97066518025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124632 (or 62316 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 49.

Multiplying 97066518025 by its sum of digits (49), we get a square (4756259383225 = 2180885²).

The spelling of 97066518025 in words is "ninety-seven billion, sixty-six million, five hundred eighteen thousand, twenty-five".