506011060511 has 12 divisors (see below), whose sum is σ = 575373082200. Its totient is φ = 444147636240.

The previous prime is 506011060469. The next prime is 506011060537. The reversal of 506011060511 is 115060110605.

It is not a de Polignac number, because 506011060511 - 2¹⁸ = 506010798367 is a prime.

It is a super-2 number, since 2×506011060511² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506011060561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72098381 + ... + 72105398.

It is an arithmetic number, because the mean of its divisors is an integer number (47947756850).

Almost surely, 2^506011060511 is an apocalyptic number.

506011060511 is a deficient number, since it is larger than the sum of its proper divisors (69362021689).

506011060511 is a wasteful number, since it uses less digits than its factorization.

506011060511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144203830 (or 144203819 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 26.

It can be divided in two parts, 5060110605 and 11, that multiplied together give a palindrome (55661216655).

The spelling of 506011060511 in words is "five hundred six billion, eleven million, sixty thousand, five hundred eleven".