252889300161 has 9 divisors (see below), whose sum is σ = 365286723841. Its totient is φ = 168591861012.

The previous prime is 252889300141. The next prime is 252889300177. The reversal of 252889300161 is 161003988252.

The square root of 252889300161 is 502881.

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

252889300161 is a `hidden beast` number, since 2 + 5 + 288 + 9 + 300 + 1 + 61 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 252889300161 - 2¹³ = 252889291969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (252889300141) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1424830 + ... + 1592456.

Almost surely, 2^252889300161 is an apocalyptic number.

252889300161 is the 502881-st square number.

252889300161 is the 251441-st centered octagonal number.

It is an amenable number.

252889300161 is a deficient number, since it is larger than the sum of its proper divisors (112397423680).

252889300161 is an frugal number, since it uses more digits than its factorization.

252889300161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335260 (or 167630 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 252889300161 in words is "two hundred fifty-two billion, eight hundred eighty-nine million, three hundred thousand, one hundred sixty-one".