506264003 has 16 divisors (see below), whose sum is σ = 590521536. Its totient is φ = 425018880.

The previous prime is 506263999. The next prime is 506264021. The reversal of 506264003 is 300462605.

It is a cyclic number.

It is not a de Polignac number, because 506264003 - 2² = 506263999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (506264053) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 382583 + ... + 383903.

It is an arithmetic number, because the mean of its divisors is an integer number (36907596).

Almost surely, 2^506264003 is an apocalyptic number.

506264003 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

506264003 is a deficient number, since it is larger than the sum of its proper divisors (84257533).

506264003 is a wasteful number, since it uses less digits than its factorization.

506264003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414.

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 506264003 is about 22500.3111756260. The cubic root of 506264003 is about 797.0012751688.

The spelling of 506264003 in words is "five hundred six million, two hundred sixty-four thousand, three".