4601535524161 has 9 divisors (see below), whose sum is σ = 4856511255843. Its totient is φ = 4359310831800.

The previous prime is 4601535524147. The next prime is 4601535524167. The reversal of 4601535524161 is 1614255351064.

The square root of 4601535524161 is 2145119.

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., 4491987763761 + 109547760400 = 2119431^2 + 330980^2 .

It is not a de Polignac number, because 4601535524161 - 2⁵ = 4601535524129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4601535524167) 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, 40700811 + ... + 40813711.

Almost surely, 2^{4601535524161} is an apocalyptic number.

4601535524161 is the 2145119-th square number.

4601535524161 is the 1072560-th centered octagonal number.

It is an amenable number.

4601535524161 is a deficient number, since it is larger than the sum of its proper divisors (254975731682).

4601535524161 is an frugal number, since it uses more digits than its factorization.

4601535524161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225840 (or 112920 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 43.

It can be divided in two parts, 4601535 and 524161, that added together give a square (5125696 = 2264²).

The spelling of 4601535524161 in words is "four trillion, six hundred one billion, five hundred thirty-five million, five hundred twenty-four thousand, one hundred sixty-one".