65982710641 has 9 divisors (see below), whose sum is σ = 67098060939. Its totient is φ = 64885614600.

The previous prime is 65982710639. The next prime is 65982710653. The reversal of 65982710641 is 14601728956.

It is a happy number.

The square root of 65982710641 is 256871.

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

65982710641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2145635041 + 63837075600 = 46321^2 + 252660^2 .

It is not a de Polignac number, because 65982710641 - 2¹ = 65982710639 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (65982710741) 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, 15667026 + ... + 15671236.

Almost surely, 2^65982710641 is an apocalyptic number.

65982710641 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

65982710641 is the 256871-st square number.

65982710641 is the 128436-th centered octagonal number.

It is an amenable number.

65982710641 is a deficient number, since it is larger than the sum of its proper divisors (1115350298).

65982710641 is an frugal number, since it uses more digits than its factorization.

65982710641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8544 (or 4272 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

Multiplying 65982710641 by its sum of digits (49), we get a square (3233152821409 = 1798097²).

The spelling of 65982710641 in words is "sixty-five billion, nine hundred eighty-two million, seven hundred ten thousand, six hundred forty-one".