516777201 has 12 divisors (see below), whose sum is σ = 749718580. Its totient is φ = 343012320.

The previous prime is 516777199. The next prime is 516777211. The reversal of 516777201 is 102777615.

516777201 is a `hidden beast` number, since 516 + 77 + 72 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 407030625 + 109746576 = 20175^2 + 10476^2 .

It is not a de Polignac number, because 516777201 - 2¹ = 516777199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (516777211) 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, 123310 + ... + 127431.

Almost surely, 2^516777201 is an apocalyptic number.

It is an amenable number.

516777201 is a deficient number, since it is larger than the sum of its proper divisors (232941379).

516777201 is a wasteful number, since it uses less digits than its factorization.

516777201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250976 (or 250973 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 36.

The square root of 516777201 is about 22732.7341294443. The cubic root of 516777201 is about 802.4804269253.

The spelling of 516777201 in words is "five hundred sixteen million, seven hundred seventy-seven thousand, two hundred one".