5417583038561 has 8 divisors (see below), whose sum is σ = 5420547999240. Its totient is φ = 5414618437632.

The previous prime is 5417583038509. The next prime is 5417583038591. The reversal of 5417583038561 is 1658303857145.

5417583038561 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7679192161 + 5409903846400 = 87631^2 + 2325920^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 5417583038561 - 2³⁸ = 5142705131617 is a prime.

It is a super-2 number, since 2×5417583038561² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5417583038497 and 5417583038506.

It is not an unprimeable number, because it can be changed into a prime (5417583038501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33412061 + ... + 33573813.

It is an arithmetic number, because the mean of its divisors is an integer number (677568499905).

Almost surely, 2^{5417583038561} is an apocalyptic number.

It is an amenable number.

5417583038561 is a deficient number, since it is larger than the sum of its proper divisors (2964960679).

5417583038561 is a wasteful number, since it uses less digits than its factorization.

5417583038561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179875.

The product of its (nonzero) digits is 12096000, while the sum is 56.

The spelling of 5417583038561 in words is "five trillion, four hundred seventeen billion, five hundred eighty-three million, thirty-eight thousand, five hundred sixty-one".