512162161 has 27 divisors (see below), whose sum is σ = 617351553. Its totient is φ = 423652320.

The previous prime is 512162141. The next prime is 512162173. The reversal of 512162161 is 161261215.

It is a happy number.

The square root of 512162161 is 22631.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 68807025 + 443355136 = 8295^2 + 21056^2 .

It is not a de Polignac number, because 512162161 - 2¹⁹ = 511637873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (512162141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8396071 + ... + 8396131.

Almost surely, 2^512162161 is an apocalyptic number.

512162161 is the 22631-st square number.

512162161 is the 11316-th centered octagonal number.

It is an amenable number.

512162161 is a deficient number, since it is larger than the sum of its proper divisors (105189392).

512162161 is an frugal number, since it uses more digits than its factorization.

512162161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 121 counting only the distinct ones).

The product of its digits is 720, while the sum is 25.

The cubic root of 512162161 is about 800.0844499391.

Multiplying 512162161 by its sum of digits (25), we get a square (12804054025 = 113155²).

The spelling of 512162161 in words is "five hundred twelve million, one hundred sixty-two thousand, one hundred sixty-one".