516028801 has 2 divisors, whose sum is σ = 516028802. Its totient is φ = 516028800.

The previous prime is 516028789. The next prime is 516028811. The reversal of 516028801 is 108820615.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 415548225 + 100480576 = 20385^2 + 10024^2 .

It is a cyclic number.

It is not a de Polignac number, because 516028801 - 2⁵ = 516028769 is a prime.

It is a super-3 number, since 3×516028801³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (516028811) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 258014400 + 258014401.

It is an arithmetic number, because the mean of its divisors is an integer number (258014401).

Almost surely, 2^516028801 is an apocalyptic number.

It is an amenable number.

516028801 is a deficient number, since it is larger than the sum of its proper divisors (1).

516028801 is an equidigital number, since it uses as much as digits as its factorization.

516028801 is an odious number, because the sum of its binary digits is odd.

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

The square root of 516028801 is about 22716.2673210191. The cubic root of 516028801 is about 802.0928540323.

The spelling of 516028801 in words is "five hundred sixteen million, twenty-eight thousand, eight hundred one".