1000000000506 has 64 divisors (see below), whose sum is σ = 2271178990080. Its totient is φ = 290987225280.

The previous prime is 1000000000471. The next prime is 1000000000537. The reversal of 1000000000506 is 6050000000001.

1000000000506 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1000000000491 and 1000000000500.

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, 255361 + ... + 1437083.

It is an arithmetic number, because the mean of its divisors is an integer number (35487171720).

Almost surely, 2^{1000000000506} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000000000506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135589495040).

1000000000506 is an abundant number, since it is smaller than the sum of its proper divisors (1271178989574).

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

1000000000506 is a wasteful number, since it uses less digits than its factorization.

1000000000506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182331.

The product of its (nonzero) digits is 30, while the sum is 12.

Adding to 1000000000506 its reverse (6050000000001), we get a palindrome (7050000000507).

The spelling of 1000000000506 in words is "one trillion, five hundred six", and thus it is an aban number.