516764628 has 36 divisors (see below), whose sum is σ = 1330917588. Its totient is φ = 169004160.

The previous prime is 516764627. The next prime is 516764629. The reversal of 516764628 is 826467615.

516764628 is a `hidden beast` number, since 5 + 16 + 7 + 6 + 4 + 628 = 666.

It is an interprime number because it is at equal distance from previous prime (516764627) and next prime (516764629).

It can be written as a sum of positive squares in 2 ways, for example, as 466041744 + 50722884 = 21588^2 + 7122^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516764627) 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 11 ways as a sum of consecutive naturals, for example, 133513 + ... + 137328.

It is an arithmetic number, because the mean of its divisors is an integer number (36969933).

Almost surely, 2^516764628 is an apocalyptic number.

It is an amenable number.

516764628 is an abundant number, since it is smaller than the sum of its proper divisors (814152960).

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

516764628 is a wasteful number, since it uses less digits than its factorization.

516764628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270904 (or 270899 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 516764628 is about 22732.4575882151. The cubic root of 516764628 is about 802.4739188542.

The spelling of 516764628 in words is "five hundred sixteen million, seven hundred sixty-four thousand, six hundred twenty-eight".