65867682609 has 9 divisors (see below), whose sum is σ = 95143320363. Its totient is φ = 43911275112.

The previous prime is 65867682581. The next prime is 65867682619. The reversal of 65867682609 is 90628676856.

The square root of 65867682609 is 256647.

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., 812079009 + 65055603600 = 28497^2 + 255060^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 65867682609 - 2¹⁹ = 65867158321 is a prime.

It is a super-2 number, since 2×65867682609² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (65867682619) 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, 727167 + ... + 812715.

Almost surely, 2^65867682609 is an apocalyptic number.

65867682609 is the 256647-th square number.

65867682609 is the 128324-th centered octagonal number.

It is an amenable number.

65867682609 is a deficient number, since it is larger than the sum of its proper divisors (29275637754).

65867682609 is an frugal number, since it uses more digits than its factorization.

65867682609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171104 (or 85552 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

It can be divided in two parts, 65867 and 682609, that added together give a triangular number (748476 = T₁₂₂₃).

The spelling of 65867682609 in words is "sixty-five billion, eight hundred sixty-seven million, six hundred eighty-two thousand, six hundred nine".