506001000500 has 96 divisors (see below), whose sum is σ = 1166113428480. Its totient is φ = 191424710400.

The previous prime is 506001000493. The next prime is 506001000521. The reversal of 506001000500 is 5000100605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 776309 + ... + 1270691.

It is an arithmetic number, because the mean of its divisors is an integer number (12147014880).

Almost surely, 2^506001000500 is an apocalyptic number.

506001000500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506001000500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583056714240).

506001000500 is an abundant number, since it is smaller than the sum of its proper divisors (660112427980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

506001000500 is a wasteful number, since it uses less digits than its factorization.

506001000500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494514 (or 494502 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The spelling of 506001000500 in words is "five hundred six billion, one million, five hundred", and thus it is an aban number.