516393906 has 16 divisors (see below), whose sum is σ = 1180329024. Its totient is φ = 147541104.

The previous prime is 516393883. The next prime is 516393929. The reversal of 516393906 is 609393615.

It is an interprime number because it is at equal distance from previous prime (516393883) and next prime (516393929).

It is a Harshad number since it is a multiple of its sum of digits (42), and also a Moran number because the ratio is a prime number: 12295093 = 516393906 / (5 + 1 + 6 + 3 + 9 + 3 + 9 + 0 + 6).

It is a Curzon number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6147505 + ... + 6147588.

It is an arithmetic number, because the mean of its divisors is an integer number (73770564).

Almost surely, 2^516393906 is an apocalyptic number.

516393906 is an abundant number, since it is smaller than the sum of its proper divisors (663935118).

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

516393906 is a wasteful number, since it uses less digits than its factorization.

516393906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12295105.

The product of its (nonzero) digits is 131220, while the sum is 42.

The square root of 516393906 is about 22724.3021014948. The cubic root of 516393906 is about 802.2819772440.

The spelling of 516393906 in words is "five hundred sixteen million, three hundred ninety-three thousand, nine hundred six".