516510505011 has 32 divisors (see below), whose sum is σ = 746484802560. Its totient is φ = 316431965696.

The previous prime is 516510505003. The next prime is 516510505177. The reversal of 516510505011 is 110505015615.

It is a cyclic number.

It is not a de Polignac number, because 516510505011 - 2³ = 516510505003 is a prime.

It is a super-2 number, since 2×516510505011² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 516510505011.

It is not an unprimeable number, because it can be changed into a prime (516510505211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 747205 + ... + 1261481.

It is an arithmetic number, because the mean of its divisors is an integer number (23327650080).

Almost surely, 2^516510505011 is an apocalyptic number.

516510505011 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

516510505011 is a deficient number, since it is larger than the sum of its proper divisors (229974297549).

516510505011 is a wasteful number, since it uses less digits than its factorization.

516510505011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514763.

The product of its (nonzero) digits is 3750, while the sum is 30.

The spelling of 516510505011 in words is "five hundred sixteen billion, five hundred ten million, five hundred five thousand, eleven".