251825161 has 9 divisors (see below), whose sum is σ = 293068749. Its totient is φ = 215754924.

The previous prime is 251825129. The next prime is 251825177. The reversal of 251825161 is 161528152.

The square root of 251825161 is 15869.

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

It is not a de Polignac number, because 251825161 - 2⁵ = 251825129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (251825191) 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, 109950 + ... + 112216.

Almost surely, 2^251825161 is an apocalyptic number.

251825161 is the 15869-th square number.

251825161 is the 7935-th centered octagonal number.

It is an amenable number.

251825161 is a deficient number, since it is larger than the sum of its proper divisors (41243588).

251825161 is an frugal number, since it uses more digits than its factorization.

251825161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4548 (or 2274 counting only the distinct ones).

The product of its digits is 4800, while the sum is 31.

The cubic root of 251825161 is about 631.4898484568.

The spelling of 251825161 in words is "two hundred fifty-one million, eight hundred twenty-five thousand, one hundred sixty-one".