65068825575625 has 45 divisors (see below), whose sum is σ = 81724622297241. Its totient is φ = 51790962432000.

The previous prime is 65068825575601. The next prime is 65068825575659. The reversal of 65068825575625 is 52657552886056.

The square root of 65068825575625 is 8066525.

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

It can be written as a sum of positive squares in 22 ways, for example, as 53473138876089 + 11595686699536 = 7312533^2 + 3405244^2 .

It is a de Polignac number, because none of the positive numbers 2^k-65068825575625 is a prime.

It is a super-2 number, since 2×65068825575625² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 46180854921 + ... + 46180856329.

Almost surely, 2^{65068825575625} is an apocalyptic number.

65068825575625 is the 8066525-th square number.

65068825575625 is the 4033263-rd centered octagonal number.

It is an amenable number.

65068825575625 is a deficient number, since it is larger than the sum of its proper divisors (16655796721616).

65068825575625 is an frugal number, since it uses more digits than its factorization.

65068825575625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3296 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 1209600000, while the sum is 70.

The spelling of 65068825575625 in words is "sixty-five trillion, sixty-eight billion, eight hundred twenty-five million, five hundred seventy-five thousand, six hundred twenty-five".