506002000501 has 8 divisors (see below), whose sum is σ = 509162458680. Its totient is φ = 502851019968.

The previous prime is 506002000451. The next prime is 506002000507. The reversal of 506002000501 is 105000200605.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 142374910276 + 363627090225 = 377326^2 + 603015^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-506002000501 is a prime.

It is a super-2 number, since 2×506002000501² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506002000507) 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 7 ways as a sum of consecutive naturals, for example, 2262286 + ... + 2475871.

It is an arithmetic number, because the mean of its divisors is an integer number (63645307335).

Almost surely, 2^506002000501 is an apocalyptic number.

It is an amenable number.

506002000501 is a deficient number, since it is larger than the sum of its proper divisors (3160458179).

506002000501 is a wasteful number, since it uses less digits than its factorization.

506002000501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4738823.

The product of its (nonzero) digits is 300, while the sum is 19.

The spelling of 506002000501 in words is "five hundred six billion, two million, five hundred one", and thus it is an aban number.