5146565120 has 80 divisors (see below), whose sum is σ = 12542364648. Its totient is φ = 2024816640.

The previous prime is 5146565117. The next prime is 5146565129. The reversal of 5146565120 is 215656415.

It can be written as a sum of positive squares in 4 ways, for example, as 4172126464 + 974438656 = 64592^2 + 31216^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×5146565120² = 52974265068801228800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5146565129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139682 + ... + 172638.

Almost surely, 2^5146565120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5146565120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6271182324).

5146565120 is an abundant number, since it is smaller than the sum of its proper divisors (7395799528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5146565120 is an equidigital number, since it uses as much as digits as its factorization.

5146565120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33041 (or 33025 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 35.

The square root of 5146565120 is about 71739.5645372900. The cubic root of 5146565120 is about 1726.5234872472.

The spelling of 5146565120 in words is "five billion, one hundred forty-six million, five hundred sixty-five thousand, one hundred twenty".