65656745323225 has 45 divisors (see below), whose sum is σ = 94980645328893. Its totient is φ = 45020406936960.

The previous prime is 65656745323133. The next prime is 65656745323289. The reversal of 65656745323225 is 52232354765656.

The square root of 65656745323225 is 8102885.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1892751347529 + 63763993975696 = 1375773^2 + 7985236^2 .

It is not a de Polignac number, because 65656745323225 - 2¹⁵ = 65656745290457 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 (31) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1985190289 + ... + 1985223361.

Almost surely, 2^{65656745323225} is an apocalyptic number.

65656745323225 is the 8102885-th square number.

65656745323225 is the 4051443-rd centered octagonal number.

It is an amenable number.

65656745323225 is a deficient number, since it is larger than the sum of its proper divisors (29323900005668).

65656745323225 is an frugal number, since it uses more digits than its factorization.

65656745323225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66184 (or 33085 counting only the distinct ones).

The product of its digits is 272160000, while the sum is 61.

The spelling of 65656745323225 in words is "sixty-five trillion, six hundred fifty-six billion, seven hundred forty-five million, three hundred twenty-three thousand, two hundred twenty-five".