65256652829281 has 9 divisors (see below), whose sum is σ = 65419906882323. Its totient is φ = 65093805222000.

The previous prime is 65256652829267. The next prime is 65256652829287. The reversal of 65256652829281 is 18292825665256.

It is a happy number.

The square root of 65256652829281 is 8078159.

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., 59639184014881 + 5617468814400 = 7722641^2 + 2370120^2 .

It is not a de Polignac number, because 65256652829281 - 2⁴³ = 56460559807073 is a prime.

It is a super-2 number, since 2×65256652829281² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (65256652829287) 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, 3303957156 + ... + 3303976906.

Almost surely, 2^{65256652829281} is an apocalyptic number.

65256652829281 is the 8078159-th square number.

65256652829281 is the 4039080-th centered octagonal number.

It is an amenable number.

65256652829281 is a deficient number, since it is larger than the sum of its proper divisors (163254053042).

65256652829281 is an frugal number, since it uses more digits than its factorization.

65256652829281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40320 (or 20160 counting only the distinct ones).

The product of its digits is 248832000, while the sum is 67.

The spelling of 65256652829281 in words is "sixty-five trillion, two hundred fifty-six billion, six hundred fifty-two million, eight hundred twenty-nine thousand, two hundred eighty-one".