42617016605241 has 81 divisors (see below), whose sum is σ = 67612494704391. Its totient is φ = 25855317386496.

The previous prime is 42617016605231. The next prime is 42617016605243. The reversal of 42617016605241 is 14250661071624.

The square root of 42617016605241 is 6528171.

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

42617016605241 is a `hidden beast` number, since 4 + 2 + 6 + 1 + 7 + 0 + 16 + 605 + 24 + 1 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 40089221876025 + 2527794729216 = 6331605^2 + 1589904^2 .

It is not a de Polignac number, because 42617016605241 - 2³⁵ = 42582656866873 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42617016605243) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 18585701691 + ... + 18585703983.

Almost surely, 2^{42617016605241} is an apocalyptic number.

42617016605241 is the 6528171-st square number.

42617016605241 is the 3264086-th centered octagonal number.

It is an amenable number.

42617016605241 is a deficient number, since it is larger than the sum of its proper divisors (24995478099150).

42617016605241 is an frugal number, since it uses more digits than its factorization.

42617016605241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4764 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

Adding to 42617016605241 its reverse (14250661071624), we get a palindrome (56867677676865).

The spelling of 42617016605241 in words is "forty-two trillion, six hundred seventeen billion, sixteen million, six hundred five thousand, two hundred forty-one".