39964712715225 has 81 divisors (see below), whose sum is σ = 71828535965277. Its totient is φ = 21241130400000.

The previous prime is 39964712715223. The next prime is 39964712715281. The reversal of 39964712715225 is 52251721746993.

The square root of 39964712715225 is 6321765.

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

39964712715225 is a `hidden beast` number, since 3 + 9 + 9 + 6 + 471 + 2 + 7 + 152 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10690683054921 + 29274029660304 = 3269661^2 + 5410548^2 .

It is not a de Polignac number, because 39964712715225 - 2¹ = 39964712715223 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (39964712715223) by changing a digit.

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, 38025415950 + ... + 38025417000.

Almost surely, 2^{39964712715225} is an apocalyptic number.

39964712715225 is the 6321765-th square number.

39964712715225 is the 3160883-rd centered octagonal number.

It is an amenable number.

39964712715225 is a deficient number, since it is larger than the sum of its proper divisors (31863823250052).

39964712715225 is an frugal number, since it uses more digits than its factorization.

39964712715225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920 (or 1460 counting only the distinct ones).

The product of its digits is 57153600, while the sum is 63.

The spelling of 39964712715225 in words is "thirty-nine trillion, nine hundred sixty-four billion, seven hundred twelve million, seven hundred fifteen thousand, two hundred twenty-five".