5416584165081 has 12 divisors (see below), whose sum is σ = 7824038265108. Its totient is φ = 3611017636224.

The previous prime is 5416584165061. The next prime is 5416584165121. The reversal of 5416584165081 is 1805614856145.

It is a happy number.

5416584165081 is a `hidden beast` number, since 5 + 4 + 1 + 6 + 584 + 1 + 6 + 50 + 8 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5315717581056 + 100866584025 = 2305584^2 + 317595^2 .

It is not a de Polignac number, because 5416584165081 - 2¹⁸ = 5416583902937 is a prime.

It is a super-2 number, since 2×5416584165081² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5416584165061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2301060 + ... + 4015973.

It is an arithmetic number, because the mean of its divisors is an integer number (652003188759).

Almost surely, 2^{5416584165081} is an apocalyptic number.

It is an amenable number.

5416584165081 is a deficient number, since it is larger than the sum of its proper divisors (2407454100027).

5416584165081 is a wasteful number, since it uses less digits than its factorization.

5416584165081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6412312 (or 6412309 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 54.

The spelling of 5416584165081 in words is "five trillion, four hundred sixteen billion, five hundred eighty-four million, one hundred sixty-five thousand, eighty-one".