1609652975841 has 45 divisors (see below), whose sum is σ = 2490830180553. Its totient is φ = 1035885322080.

The previous prime is 1609652975683. The next prime is 1609652975869. The reversal of 1609652975841 is 1485792569061.

The square root of 1609652975841 is 1268721.

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

1609652975841 is a `hidden beast` number, since 1 + 60 + 9 + 6 + 529 + 7 + 5 + 8 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 400092935841 + 1209560040000 = 632529^2 + 1099800^2 .

It is not a de Polignac number, because 1609652975841 - 2¹¹ = 1609652973793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1609652975881) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 331133751 + ... + 331138611.

Almost surely, 2^{1609652975841} is an apocalyptic number.

1609652975841 is the 1268721-st square number.

1609652975841 is the 634361-st centered octagonal number.

It is an amenable number.

1609652975841 is a deficient number, since it is larger than the sum of its proper divisors (881177204712).

1609652975841 is an frugal number, since it uses more digits than its factorization.

1609652975841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9792 (or 4893 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 1609652975841 in words is "one trillion, six hundred nine billion, six hundred fifty-two million, nine hundred seventy-five thousand, eight hundred forty-one".