516128080 has 160 divisors (see below), whose sum is σ = 1357725600. Its totient is φ = 181149696.

The previous prime is 516128077. The next prime is 516128099. The reversal of 516128080 is 80821615.

It can be written as a sum of positive squares in 16 ways, for example, as 190108944 + 326019136 = 13788^2 + 18056^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3287362 + ... + 3287518.

It is an arithmetic number, because the mean of its divisors is an integer number (8485785).

Almost surely, 2^516128080 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 516128080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678862800).

516128080 is an abundant number, since it is smaller than the sum of its proper divisors (841597520).

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

516128080 is a wasteful number, since it uses less digits than its factorization.

516128080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 31.

The square root of 516128080 is about 22718.4524120812. The cubic root of 516128080 is about 802.1442890621.

Adding to 516128080 its reverse (80821615), we get a palindrome (596949695).

It can be divided in two parts, 5161280 and 80, that multiplied together give a square (412902400 = 20320²).

The spelling of 516128080 in words is "five hundred sixteen million, one hundred twenty-eight thousand, eighty".