66974852025 has 117 divisors (see below), whose sum is σ = 126352409983. Its totient is φ = 35216823600.

The previous prime is 66974851963. The next prime is 66974852099. The reversal of 66974852025 is 52025847966.

The square root of 66974852025 is 258795.

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

66974852025 is a `hidden beast` number, since 6 + 6 + 97 + 4 + 8 + 520 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24110946729 + 42863905296 = 155277^2 + 207036^2 .

It is a de Polignac number, because none of the positive numbers 2^k-66974852025 is a prime.

It is a Duffinian number.

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 116 ways as a sum of consecutive naturals, for example, 943307740 + ... + 943307810.

Almost surely, 2^66974852025 is an apocalyptic number.

66974852025 is the 258795-th square number.

66974852025 is the 129398-th centered octagonal number.

It is an amenable number.

66974852025 is a deficient number, since it is larger than the sum of its proper divisors (59377557958).

66974852025 is an frugal number, since it uses more digits than its factorization.

66974852025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 66974852025 in words is "sixty-six billion, nine hundred seventy-four million, eight hundred fifty-two thousand, twenty-five".