65106625600 has 63 divisors (see below), whose sum is σ = 160228108677. Its totient is φ = 26038567680.

The previous prime is 65106625567. The next prime is 65106625601. The reversal of 65106625600 is 652660156.

The square root of 65106625600 is 255160.

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., 23438385216 + 41668240384 = 153096^2 + 204128^2 .

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 65106625600.

It is not an unprimeable number, because it can be changed into a prime (65106625601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10203211 + ... + 10209589.

Almost surely, 2^65106625600 is an apocalyptic number.

65106625600 is the 255160-th square number.

It is an amenable number.

65106625600 is an abundant number, since it is smaller than the sum of its proper divisors (95121483077).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

65106625600 is an frugal number, since it uses more digits than its factorization.

65106625600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12780 (or 6386 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The spelling of 65106625600 in words is "sixty-five billion, one hundred six million, six hundred twenty-five thousand, six hundred".