4116165521 has 18 divisors (see below), whose sum is σ = 4568827410. Its totient is φ = 3706609920.

The previous prime is 4116165467. The next prime is 4116165527. The reversal of 4116165521 is 1255616114.

It can be written as a sum of positive squares in 9 ways, for example, as 4113426496 + 2739025 = 64136^2 + 1655^2 .

It is not a de Polignac number, because 4116165521 - 2²² = 4111971217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4116165527) 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 17 ways as a sum of consecutive naturals, for example, 276845 + ... + 291333.

It is an arithmetic number, because the mean of its divisors is an integer number (253823745).

Almost surely, 2^4116165521 is an apocalyptic number.

4116165521 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4116165521 is a deficient number, since it is larger than the sum of its proper divisors (452661889).

4116165521 is a wasteful number, since it uses less digits than its factorization.

4116165521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14597 (or 14543 counting only the distinct ones).

The product of its digits is 7200, while the sum is 32.

The square root of 4116165521 is about 64157.3497036778. The cubic root of 4116165521 is about 1602.6214216275.

The spelling of 4116165521 in words is "four billion, one hundred sixteen million, one hundred sixty-five thousand, five hundred twenty-one".