511223641011 has 48 divisors (see below), whose sum is σ = 786438997344. Its totient is φ = 318896428032.

The previous prime is 511223641009. The next prime is 511223641039. The reversal of 511223641011 is 110146322115.

511223641011 is a `hidden beast` number, since 5 + 1 + 1 + 2 + 2 + 3 + 641 + 0 + 11 = 666.

It is not a de Polignac number, because 511223641011 - 2¹ = 511223641009 is a prime.

It is a super-3 number, since 3×511223641011³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (511223641001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44693385 + ... + 44704821.

It is an arithmetic number, because the mean of its divisors is an integer number (16384145778).

Almost surely, 2^511223641011 is an apocalyptic number.

511223641011 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

511223641011 is a deficient number, since it is larger than the sum of its proper divisors (275215356333).

511223641011 is a wasteful number, since it uses less digits than its factorization.

511223641011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13140 (or 13137 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 511223641011 its reverse (110146322115), we get a palindrome (621369963126).

The spelling of 511223641011 in words is "five hundred eleven billion, two hundred twenty-three million, six hundred forty-one thousand, eleven".