65038337683225 has 9 divisors (see below), whose sum is σ = 80647588727967. Its totient is φ = 52030637888040.

The previous prime is 65038337683181. The next prime is 65038337683331. The reversal of 65038337683225 is 52238673383056.

The square root of 65038337683225 is 8064635.

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., 23413801565961 + 41624536117264 = 4838781^2 + 6451708^2 .

It is a de Polignac number, because none of the positive numbers 2^k-65038337683225 is a prime.

It is a super-3 number, since 3×65038337683225³ (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 39516712 + ... + 41129638.

Almost surely, 2^{65038337683225} is an apocalyptic number.

65038337683225 is the 8064635-th square number.

65038337683225 is the 4032318-th centered octagonal number.

It is an amenable number.

65038337683225 is a deficient number, since it is larger than the sum of its proper divisors (15609251044742).

65038337683225 is an frugal number, since it uses more digits than its factorization.

65038337683225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3225864 (or 1612932 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 61.

The spelling of 65038337683225 in words is "sixty-five trillion, thirty-eight billion, three hundred thirty-seven million, six hundred eighty-three thousand, two hundred twenty-five".