506051000113 has 16 divisors (see below), whose sum is σ = 546804248400. Its totient is φ = 466605950976.

The previous prime is 506051000111. The next prime is 506051000149. The reversal of 506051000113 is 311000150605.

It can be written as a sum of positive squares in 8 ways, for example, as 60879147169 + 445171852944 = 246737^2 + 667212^2 .

It is a cyclic number.

It is not a de Polignac number, because 506051000113 - 2¹ = 506051000111 is a prime.

It is a super-2 number, since 2×506051000113² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (506051000111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1183470 + ... + 1553287.

It is an arithmetic number, because the mean of its divisors is an integer number (34175265525).

Almost surely, 2^506051000113 is an apocalyptic number.

It is an amenable number.

506051000113 is a deficient number, since it is larger than the sum of its proper divisors (40753248287).

506051000113 is a wasteful number, since it uses less digits than its factorization.

506051000113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2736996.

The product of its (nonzero) digits is 450, while the sum is 22.

Adding to 506051000113 its reverse (311000150605), we get a palindrome (817051150718).

The spelling of 506051000113 in words is "five hundred six billion, fifty-one million, one hundred thirteen", and thus it is an aban number.