64565285409 has 27 divisors (see below), whose sum is σ = 96873888787. Its totient is φ = 43029802368.

The previous prime is 64565285341. The next prime is 64565285417. The reversal of 64565285409 is 90458256546.

The square root of 64565285409 is 254097.

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

64565285409 is a `hidden beast` number, since 6 + 4 + 565 + 28 + 54 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 64482984225 + 82301184 = 253935^2 + 9072^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 64565285409 - 2¹¹ = 64565283361 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (64565285479) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20580289 + ... + 20583425.

Almost surely, 2^64565285409 is an apocalyptic number.

64565285409 is the 254097-th square number.

64565285409 is the 127049-th centered octagonal number.

It is an amenable number.

64565285409 is a deficient number, since it is larger than the sum of its proper divisors (32308603378).

64565285409 is an frugal number, since it uses more digits than its factorization.

64565285409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6298 (or 3140 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 64565285409 in words is "sixty-four billion, five hundred sixty-five million, two hundred eighty-five thousand, four hundred nine".