65584649025 has 189 divisors, whose sum is σ = 142364202003. Its totient is φ = 29870920800.

The previous prime is 65584649003. The next prime is 65584649033. The reversal of 65584649025 is 52094648556.

The square root of 65584649025 is 256095.

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

65584649025 is a `hidden beast` number, since 6 + 55 + 84 + 6 + 490 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23610473649 + 41974175376 = 153657^2 + 204876^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 65584649025 - 2¹⁷ = 65584517953 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 242009640 + ... + 242009910.

Almost surely, 2^65584649025 is an apocalyptic number.

65584649025 is the 256095-th square number.

65584649025 is the 128048-th centered octagonal number.

It is an amenable number.

65584649025 is an abundant number, since it is smaller than the sum of its proper divisors (76779552978).

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

65584649025 is an frugal number, since it uses more digits than its factorization.

65584649025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 286 counting only the distinct ones).

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

The spelling of 65584649025 in words is "sixty-five billion, five hundred eighty-four million, six hundred forty-nine thousand, twenty-five".