18625180181 has 2 divisors, whose sum is σ = 18625180182. Its totient is φ = 18625180180.

The previous prime is 18625180117. The next prime is 18625180183. The reversal of 18625180181 is 18108152681.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16762480900 + 1862699281 = 129470^2 + 43159^2 .

It is a cyclic number.

It is not a de Polignac number, because 18625180181 - 2⁶ = 18625180117 is a prime.

It is a super-2 number, since 2×18625180181² (a number of 21 digits) contains 22 as substring.

Together with 18625180183, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (18625180183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9312590090 + 9312590091.

It is an arithmetic number, because the mean of its divisors is an integer number (9312590091).

Almost surely, 2^18625180181 is an apocalyptic number.

It is an amenable number.

18625180181 is a deficient number, since it is larger than the sum of its proper divisors (1).

18625180181 is an equidigital number, since it uses as much as digits as its factorization.

18625180181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30720, while the sum is 41.

The spelling of 18625180181 in words is "eighteen billion, six hundred twenty-five million, one hundred eighty thousand, one hundred eighty-one".