516401663 has 12 divisors (see below), whose sum is σ = 530827488. Its totient is φ = 502356960.

The previous prime is 516401657. The next prime is 516401671. The reversal of 516401663 is 366104615.

It is not a de Polignac number, because 516401663 - 2⁴ = 516401647 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516401603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 678203 + ... + 678963.

It is an arithmetic number, because the mean of its divisors is an integer number (44235624).

Almost surely, 2^516401663 is an apocalyptic number.

516401663 is a deficient number, since it is larger than the sum of its proper divisors (14425825).

516401663 is an equidigital number, since it uses as much as digits as its factorization.

516401663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 516401663 is about 22724.4727771625. The cubic root of 516401663 is about 802.2859943777.

The spelling of 516401663 in words is "five hundred sixteen million, four hundred one thousand, six hundred sixty-three".