2036765685409 has 27 divisors (see below), whose sum is σ = 2565735736563. Its totient is φ = 1611404160912.

The previous prime is 2036765685397. The next prime is 2036765685419. The reversal of 2036765685409 is 9045865676302.

The square root of 2036765685409 is 1427153.

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., 301296699025 + 1735468986384 = 548905^2 + 1317372^2 .

It is not a de Polignac number, because 2036765685409 - 2⁹ = 2036765684897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2036765685419) 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, 129863082 + ... + 129878764.

Almost surely, 2^{2036765685409} is an apocalyptic number.

2036765685409 is the 1427153-rd square number.

2036765685409 is the 713577-th centered octagonal number.

It is an amenable number.

2036765685409 is a deficient number, since it is larger than the sum of its proper divisors (528970051154).

2036765685409 is an frugal number, since it uses more digits than its factorization.

2036765685409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31406 (or 15703 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 61.

The spelling of 2036765685409 in words is "two trillion, thirty-six billion, seven hundred sixty-five million, six hundred eighty-five thousand, four hundred nine".