65589771025 has 81 divisors (see below), whose sum is σ = 91011346993. Its totient is φ = 46877459200.

The previous prime is 65589771019. The next prime is 65589771041. The reversal of 65589771025 is 52017798556.

The square root of 65589771025 is 256105.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1534210561 + 64055560464 = 39169^2 + 253092^2 .

It is not a de Polignac number, because 65589771025 - 2²³ = 65581382417 is a prime.

It is a super-2 number, since 2×65589771025² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 500685210 + ... + 500685340.

Almost surely, 2^65589771025 is an apocalyptic number.

65589771025 is the 256105-th square number.

65589771025 is the 128053-rd centered octagonal number.

It is an amenable number.

65589771025 is a deficient number, since it is larger than the sum of its proper divisors (25421575968).

65589771025 is a wasteful number, since it uses less digits than its factorization.

65589771025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 55.

The spelling of 65589771025 in words is "sixty-five billion, five hundred eighty-nine million, seven hundred seventy-one thousand, twenty-five".