505120000506 has 64 divisors (see below), whose sum is σ = 1120385433600. Its totient is φ = 150525316800.

The previous prime is 505120000501. The next prime is 505120000507. The reversal of 505120000506 is 605000021505.

It is a super-2 number, since 2×505120000506² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (505120000501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24463735 + ... + 24484373.

It is an arithmetic number, because the mean of its divisors is an integer number (17506022400).

Almost surely, 2^505120000506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505120000506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560192716800).

505120000506 is an abundant number, since it is smaller than the sum of its proper divisors (615265433094).

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

505120000506 is a wasteful number, since it uses less digits than its factorization.

505120000506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26795.

The product of its (nonzero) digits is 1500, while the sum is 24.

The spelling of 505120000506 in words is "five hundred five billion, one hundred twenty million, five hundred six", and thus it is an aban number.