506800993 has 8 divisors (see below), whose sum is σ = 519173120. Its totient is φ = 494560080.

The previous prime is 506800979. The next prime is 506800997. The reversal of 506800993 is 399008605.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 506800993 - 2²¹ = 504703841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (506800997) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24963 + ... + 40456.

It is an arithmetic number, because the mean of its divisors is an integer number (64896640).

Almost surely, 2^506800993 is an apocalyptic number.

It is an amenable number.

506800993 is a deficient number, since it is larger than the sum of its proper divisors (12372127).

506800993 is a wasteful number, since it uses less digits than its factorization.

506800993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65607.

The product of its (nonzero) digits is 58320, while the sum is 40.

The square root of 506800993 is about 22512.2409590871. The cubic root of 506800993 is about 797.2829664619.

The spelling of 506800993 in words is "five hundred six million, eight hundred thousand, nine hundred ninety-three".