516306645 has 60 divisors (see below), whose sum is σ = 958429836. Its totient is φ = 256967040.

The previous prime is 516306641. The next prime is 516306649. The reversal of 516306645 is 546603615.

516306645 is a `hidden beast` number, since 5 + 1 + 6 + 3 + 0 + 6 + 645 = 666.

It is an interprime number because it is at equal distance from previous prime (516306641) and next prime (516306649).

It can be written as a sum of positive squares in 2 ways, for example, as 90668484 + 425638161 = 9522^2 + 20631^2 .

It is not a de Polignac number, because 516306645 - 2² = 516306641 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516306641) 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 59 ways as a sum of consecutive naturals, for example, 12592825 + ... + 12592865.

Almost surely, 2^516306645 is an apocalyptic number.

It is an amenable number.

516306645 is a deficient number, since it is larger than the sum of its proper divisors (442123191).

516306645 is an frugal number, since it uses more digits than its factorization.

516306645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 516306645 is about 22722.3820274196. The cubic root of 516306645 is about 802.2367844364.

The spelling of 516306645 in words is "five hundred sixteen million, three hundred six thousand, six hundred forty-five".