3765528607009 has 9 divisors (see below), whose sum is σ = 4077493204473. Its totient is φ = 3475849274352.

The previous prime is 3765528607007. The next prime is 3765528607013. The reversal of 3765528607009 is 9007068255673.

The square root of 3765528607009 is 1940497.

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

It can be written as a sum of positive squares in 4 ways, for example, as 370619176225 + 3394909430784 = 608785^2 + 1842528^2 .

It is not a de Polignac number, because 3765528607009 - 2¹ = 3765528607007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3765528607007) 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, 25151827 + ... + 25301095.

It is an arithmetic number, because the mean of its divisors is an integer number (453054800497).

Almost surely, 2^{3765528607009} is an apocalyptic number.

3765528607009 is the 1940497-th square number.

3765528607009 is the 970249-th centered octagonal number.

It is an amenable number.

3765528607009 is a deficient number, since it is larger than the sum of its proper divisors (311964597464).

3765528607009 is an frugal number, since it uses more digits than its factorization.

3765528607009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298564 (or 149282 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 58.

The spelling of 3765528607009 in words is "three trillion, seven hundred sixty-five billion, five hundred twenty-eight million, six hundred seven thousand, nine".