2065540965601 has 3 divisors (see below), whose sum is σ = 2065542402801. Its totient is φ = 2065539528402.

The previous prime is 2065540965583. The next prime is 2065540965629. The reversal of 2065540965601 is 1065690455602.

The square root of 2065540965601 is 1437199.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 2065540965601 - 2¹⁹ = 2065540441313 is a prime.

It is a super-2 number, since 2×2065540965601² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2065540965001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 718600 + ... + 2155798.

It is an arithmetic number, because the mean of its divisors is an integer number (688514134267).

Almost surely, 2^{2065540965601} is an apocalyptic number.

2065540965601 is the 1437199-th square number.

2065540965601 is the 718600-th centered octagonal number.

It is an amenable number.

2065540965601 is a deficient number, since it is larger than the sum of its proper divisors (1437200).

2065540965601 is an frugal number, since it uses more digits than its factorization.

2065540965601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2874398 (or 1437199 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 49.

Multiplying 2065540965601 by its sum of digits (49), we get a square (101211507314449 = 10060393²).

The spelling of 2065540965601 in words is "two trillion, sixty-five billion, five hundred forty million, nine hundred sixty-five thousand, six hundred one".