506116011011 has 16 divisors (see below), whose sum is σ = 568773576000. Its totient is φ = 446849800320.

The previous prime is 506116010999. The next prime is 506116011053. The reversal of 506116011011 is 110110611605.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 506116011011 - 2¹⁴ = 506115994627 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (506116001011) 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, 10964921 + ... + 11010981.

It is an arithmetic number, because the mean of its divisors is an integer number (35548348500).

Almost surely, 2^506116011011 is an apocalyptic number.

506116011011 is a deficient number, since it is larger than the sum of its proper divisors (62657564989).

506116011011 is a wasteful number, since it uses less digits than its factorization.

506116011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82846.

The product of its (nonzero) digits is 180, while the sum is 23.

Adding to 506116011011 its reverse (110110611605), we get a palindrome (616226622616).

The spelling of 506116011011 in words is "five hundred six billion, one hundred sixteen million, eleven thousand, eleven".