125170181 has 2 divisors, whose sum is σ = 125170182. Its totient is φ = 125170180.

The previous prime is 125170169. The next prime is 125170183. The reversal of 125170181 is 181071521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120802081 + 4368100 = 10991^2 + 2090^2 .

It is an emirp because it is prime and its reverse (181071521) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 125170181 - 2¹⁴ = 125153797 is a prime.

It is a super-3 number, since 3×125170181³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 125170183, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 125170181.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (125170183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62585090 + 62585091.

It is an arithmetic number, because the mean of its divisors is an integer number (62585091).

Almost surely, 2^125170181 is an apocalyptic number.

It is an amenable number.

125170181 is a deficient number, since it is larger than the sum of its proper divisors (1).

125170181 is an equidigital number, since it uses as much as digits as its factorization.

125170181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 560, while the sum is 26.

The square root of 125170181 is about 11187.9480245486. The cubic root of 125170181 is about 500.2268051033.

The spelling of 125170181 in words is "one hundred twenty-five million, one hundred seventy thousand, one hundred eighty-one".