516607441 has 27 divisors (see below), whose sum is σ = 641740827. Its totient is φ = 414576960.

The previous prime is 516607417. The next prime is 516607457. The reversal of 516607441 is 144706615.

The square root of 516607441 is 22729.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 402203025 + 114404416 = 20055^2 + 10696^2 .

It is not a de Polignac number, because 516607441 - 2¹⁵ = 516574673 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 516607397 and 516607406.

It is not an unprimeable number, because it can be changed into a prime (516602441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2704656 + ... + 2704846.

Almost surely, 2^516607441 is an apocalyptic number.

516607441 is the 22729-th square number.

516607441 is the 11365-th centered octagonal number.

It is an amenable number.

516607441 is a deficient number, since it is larger than the sum of its proper divisors (125133386).

516607441 is an equidigital number, since it uses as much as digits as its factorization.

516607441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The cubic root of 516607441 is about 802.3925463734.

The spelling of 516607441 in words is "five hundred sixteen million, six hundred seven thousand, four hundred forty-one".