506011105000 has 40 divisors (see below), whose sum is σ = 1185584030730. Its totient is φ = 202404440000.

The previous prime is 506011104979. The next prime is 506011105049. The reversal of 506011105000 is 501110605.

It can be written as a sum of positive squares in 5 ways, for example, as 373494276 + 505637610724 = 19326^2 + 711082^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 50596111 + ... + 50606110.

Almost surely, 2^506011105000 is an apocalyptic number.

506011105000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506011105000 is an abundant number, since it is smaller than the sum of its proper divisors (679572925730).

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

506011105000 is a wasteful number, since it uses less digits than its factorization.

506011105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101202247 (or 101202228 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

Adding to 506011105000 its reverse (501110605), we get a palindrome (506512215605).

The spelling of 506011105000 in words is "five hundred six billion, eleven million, one hundred five thousand".