516766561 has 16 divisors (see below), whose sum is σ = 563454144. Its totient is φ = 472034304.

The previous prime is 516766543. The next prime is 516766577. The reversal of 516766561 is 165667615.

It is a cyclic number.

It is not a de Polignac number, because 516766561 - 2¹⁷ = 516635489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (516766361) 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 15 ways as a sum of consecutive naturals, for example, 116985 + ... + 121321.

It is an arithmetic number, because the mean of its divisors is an integer number (35215884).

Almost surely, 2^516766561 is an apocalyptic number.

It is an amenable number.

516766561 is a deficient number, since it is larger than the sum of its proper divisors (46687583).

516766561 is a wasteful number, since it uses less digits than its factorization.

516766561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4560.

The product of its digits is 226800, while the sum is 43.

The square root of 516766561 is about 22732.5001044760. The cubic root of 516766561 is about 802.4749194259.

The spelling of 516766561 in words is "five hundred sixteen million, seven hundred sixty-six thousand, five hundred sixty-one".