512272716165 has 96 divisors (see below), whose sum is σ = 1042622520576. Its totient is φ = 227763394560.

The previous prime is 512272716121. The next prime is 512272716169. The reversal of 512272716165 is 561617272215.

512272716165 is a `hidden beast` number, since 5 + 1 + 2 + 2 + 7 + 27 + 1 + 616 + 5 = 666.

It is not a de Polignac number, because 512272716165 - 2¹² = 512272712069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 512272716165.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512272716169) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36368214 + ... + 36382296.

It is an arithmetic number, because the mean of its divisors is an integer number (10860651256).

Almost surely, 2^512272716165 is an apocalyptic number.

It is an amenable number.

512272716165 is an abundant number, since it is smaller than the sum of its proper divisors (530349804411).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

512272716165 is a wasteful number, since it uses less digits than its factorization.

512272716165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17259 (or 17256 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The spelling of 512272716165 in words is "five hundred twelve billion, two hundred seventy-two million, seven hundred sixteen thousand, one hundred sixty-five".