65140821529 has 45 divisors (see below), whose sum is σ = 80785586031. Its totient is φ = 52372580400.

The previous prime is 65140821523. The next prime is 65140821553. The reversal of 65140821529 is 92512804156.

The square root of 65140821529 is 255227.

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., 62586529929 + 2554291600 = 250173^2 + 50540^2 .

It is not a de Polignac number, because 65140821529 - 2¹³ = 65140813337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (65140821523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 644958579 + ... + 644958679.

Almost surely, 2^65140821529 is an apocalyptic number.

65140821529 is the 255227-th square number.

65140821529 is the 127614-th centered octagonal number.

It is an amenable number.

65140821529 is a deficient number, since it is larger than the sum of its proper divisors (15644764502).

65140821529 is an frugal number, since it uses more digits than its factorization.

65140821529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 43.

The spelling of 65140821529 in words is "sixty-five billion, one hundred forty million, eight hundred twenty-one thousand, five hundred twenty-nine".