506715993 has 24 divisors (see below), whose sum is σ = 867467328. Its totient is φ = 289551024.

The previous prime is 506715973. The next prime is 506716003. The reversal of 506715993 is 399517605.

506715993 is a `hidden beast` number, since 50 + 6 + 7 + 1 + 599 + 3 = 666.

It is not a de Polignac number, because 506715993 - 2¹⁰ = 506714969 is a prime.

It is a super-2 number, since 2×506715993² = 513522195123952098, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (506715943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147246 + ... + 150647.

It is an arithmetic number, because the mean of its divisors is an integer number (36144472).

Almost surely, 2^506715993 is an apocalyptic number.

It is an amenable number.

506715993 is a deficient number, since it is larger than the sum of its proper divisors (360751335).

506715993 is an equidigital number, since it uses as much as digits as its factorization.

506715993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297915 (or 297903 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The square root of 506715993 is about 22510.3530181115. The cubic root of 506715993 is about 797.2383908842.

The spelling of 506715993 in words is "five hundred six million, seven hundred fifteen thousand, nine hundred ninety-three".