66734930031025 has 27 divisors (see below), whose sum is σ = 87336889180203. Its totient is φ = 50577464055600.

The previous prime is 66734930031001. The next prime is 66734930031053. The reversal of 66734930031025 is 52013003943766.

The square root of 66734930031025 is 8169145.

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., 24024574811169 + 42710355219856 = 4901487^2 + 6535316^2 .

It is not a de Polignac number, because 66734930031025 - 2⁹ = 66734930030513 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 66734930031025.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 776025780 + ... + 776111770.

Almost surely, 2^{66734930031025} is an apocalyptic number.

66734930031025 is the 8169145-th square number.

66734930031025 is the 4084573-rd centered octagonal number.

It is an amenable number.

66734930031025 is a deficient number, since it is larger than the sum of its proper divisors (20601959149178).

66734930031025 is an frugal number, since it uses more digits than its factorization.

66734930031025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172030 (or 86015 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 49.

The spelling of 66734930031025 in words is "sixty-six trillion, seven hundred thirty-four billion, nine hundred thirty million, thirty-one thousand, twenty-five".