505150181 has 2 divisors, whose sum is σ = 505150182. Its totient is φ = 505150180.

The previous prime is 505150141. The next prime is 505150183. The reversal of 505150181 is 181051505.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 504721156 + 429025 = 22466^2 + 655^2 .

It is a cyclic number.

It is not a de Polignac number, because 505150181 - 2¹⁰ = 505149157 is a prime.

It is a super-2 number, since 2×505150181² = 510353410728665522, which contains 22 as substring.

Together with 505150183, 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 505150181.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (505150183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252575090 + 252575091.

It is an arithmetic number, because the mean of its divisors is an integer number (252575091).

Almost surely, 2^505150181 is an apocalyptic number.

It is an amenable number.

505150181 is a deficient number, since it is larger than the sum of its proper divisors (1).

505150181 is an equidigital number, since it uses as much as digits as its factorization.

505150181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1000, while the sum is 26.

The square root of 505150181 is about 22475.5462892451. The cubic root of 505150181 is about 796.4163567844.

The spelling of 505150181 in words is "five hundred five million, one hundred fifty thousand, one hundred eighty-one".