165045252561633 has 12 divisors (see below), whose sum is σ = 240856416683428. Its totient is φ = 108895836741120.

The previous prime is 165045252561619. The next prime is 165045252561641. The reversal of 165045252561633 is 336165252540561.

165045252561633 is a `hidden beast` number, since 1 + 6 + 5 + 0 + 4 + 52 + 525 + 6 + 1 + 63 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 61647104355489 + 103398148206144 = 7851567^2 + 10168488^2 .

It is not a de Polignac number, because 165045252561633 - 2¹⁰ = 165045252560609 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 165045252561633.

It is not an unprimeable number, because it can be changed into a prime (165045252581633) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94527635188 + ... + 94527636933.

Almost surely, 2^{165045252561633} is an apocalyptic number.

It is an amenable number.

165045252561633 is a deficient number, since it is larger than the sum of its proper divisors (75811164121795).

165045252561633 is a wasteful number, since it uses less digits than its factorization.

165045252561633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189055272224 (or 189055272221 counting only the distinct ones).

The product of its (nonzero) digits is 19440000, while the sum is 54.

The spelling of 165045252561633 in words is "one hundred sixty-five trillion, forty-five billion, two hundred fifty-two million, five hundred sixty-one thousand, six hundred thirty-three".