252206161 has 3 divisors (see below), whose sum is σ = 252222043. Its totient is φ = 252190280.

The previous prime is 252206159. The next prime is 252206197. The reversal of 252206161 is 161602252.

The square root of 252206161 is 15881.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 236206161 + 16000000 = 15369^2 + 4000^2 .

It is not a de Polignac number, because 252206161 - 2¹ = 252206159 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (252206131) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 7941 + ... + 23821.

Almost surely, 2^252206161 is an apocalyptic number.

252206161 is the 15881-st square number.

252206161 is the 7941-st centered octagonal number.

It is an amenable number.

252206161 is a deficient number, since it is larger than the sum of its proper divisors (15882).

252206161 is an frugal number, since it uses more digits than its factorization.

252206161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31762 (or 15881 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The cubic root of 252206161 is about 631.8081597744.

Multiplying 252206161 by its sum of digits (25), we get a square (6305154025 = 79405²).

The spelling of 252206161 in words is "two hundred fifty-two million, two hundred six thousand, one hundred sixty-one".