511005605165 has 24 divisors (see below), whose sum is σ = 710617694112. Its totient is φ = 349779226880.

The previous prime is 511005605147. The next prime is 511005605167. The reversal of 511005605165 is 561506500115.

It is not a de Polignac number, because 511005605165 - 2¹⁰ = 511005604141 is a prime.

It is a super-2 number, since 2×511005605165² (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 (511005605167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16058519 + ... + 16090308.

It is an arithmetic number, because the mean of its divisors is an integer number (29609070588).

Almost surely, 2^511005605165 is an apocalyptic number.

511005605165 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

511005605165 is a deficient number, since it is larger than the sum of its proper divisors (199612088947).

511005605165 is a wasteful number, since it uses less digits than its factorization.

511005605165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32148877 (or 32148860 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 35.

The spelling of 511005605165 in words is "five hundred eleven billion, five million, six hundred five thousand, one hundred sixty-five".