506430616643 has 16 divisors (see below), whose sum is σ = 604324300800. Its totient is φ = 423988410888.

The previous prime is 506430616589. The next prime is 506430616663. The reversal of 506430616643 is 346616034605.

It is not a de Polignac number, because 506430616643 - 2²² = 506426422339 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 506430616594 and 506430616603.

It is not an unprimeable number, because it can be changed into a prime (506430616663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17153555 + ... + 17183052.

It is an arithmetic number, because the mean of its divisors is an integer number (37770268800).

Almost surely, 2^506430616643 is an apocalyptic number.

506430616643 is a deficient number, since it is larger than the sum of its proper divisors (97893684157).

506430616643 is an equidigital number, since it uses as much as digits as its factorization.

506430616643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34336671 (or 34336657 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 44.

The spelling of 506430616643 in words is "five hundred six billion, four hundred thirty million, six hundred sixteen thousand, six hundred forty-three".