516400667 has 2 divisors, whose sum is σ = 516400668. Its totient is φ = 516400666.

The previous prime is 516400649. The next prime is 516400673. The reversal of 516400667 is 766004615.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 516400667 - 2²⁴ = 499623451 is a prime.

It is not a weakly prime, because it can be changed into another prime (516400067) 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 as a sum of consecutive naturals, namely, 258200333 + 258200334.

It is an arithmetic number, because the mean of its divisors is an integer number (258200334).

Almost surely, 2^516400667 is an apocalyptic number.

516400667 is a deficient number, since it is larger than the sum of its proper divisors (1).

516400667 is an equidigital number, since it uses as much as digits as its factorization.

516400667 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 516400667 is about 22724.4508624521. The cubic root of 516400667 is about 802.2854785794.

The spelling of 516400667 in words is "five hundred sixteen million, four hundred thousand, six hundred sixty-seven".