506006753 has 8 divisors (see below), whose sum is σ = 578915520. Its totient is φ = 433253520.

The previous prime is 506006731. The next prime is 506006777. The reversal of 506006753 is 357600605.

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

It is not a de Polignac number, because 506006753 - 2¹² = 506002657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (506006723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31823 + ... + 44996.

It is an arithmetic number, because the mean of its divisors is an integer number (72364440).

Almost surely, 2^506006753 is an apocalyptic number.

It is an amenable number.

506006753 is a deficient number, since it is larger than the sum of its proper divisors (72908767).

506006753 is an equidigital number, since it uses as much as digits as its factorization.

506006753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77767.

The product of its (nonzero) digits is 18900, while the sum is 32.

The square root of 506006753 is about 22494.5938616371. The cubic root of 506006753 is about 796.8662577905.

The spelling of 506006753 in words is "five hundred six million, six thousand, seven hundred fifty-three".