65419827529 has 27 divisors (see below), whose sum is σ = 77497997031. Its totient is φ = 55062811440.

The previous prime is 65419827497. The next prime is 65419827619. The reversal of 65419827529 is 92572891456.

It is a happy number.

The square root of 65419827529 is 255773.

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., 2127331129 + 63292496400 = 46123^2 + 251580^2 .

It is not a de Polignac number, because 65419827529 - 2⁵ = 65419827497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (65419827829) 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, 109214772 + ... + 109215370.

Almost surely, 2^65419827529 is an apocalyptic number.

65419827529 is the 255773-rd square number.

65419827529 is the 127887-th centered octagonal number.

It is an amenable number.

65419827529 is a deficient number, since it is larger than the sum of its proper divisors (12078169502).

65419827529 is an frugal number, since it uses more digits than its factorization.

65419827529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 667 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 58.

The spelling of 65419827529 in words is "sixty-five billion, four hundred nineteen million, eight hundred twenty-seven thousand, five hundred twenty-nine".