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181805224481 is a prime number
BaseRepresentation
bin1010100101010001101…
…1111001001000100001
3122101021022121022200122
42221110123321020201
510434314114140411
6215304204530025
716064205624146
oct2512433711041
9571238538618
10181805224481
1170115345041
122b29a250915
13141b494360a
148b298723cd
154ae0e449db
hex2a546f9221

181805224481 has 2 divisors, whose sum is σ = 181805224482. Its totient is φ = 181805224480.

The previous prime is 181805224421. The next prime is 181805224483. The reversal of 181805224481 is 184422508181.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 136002376225 + 45802848256 = 368785^2 + 214016^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-181805224481 is a prime.

It is a super-2 number, since 2×1818052244812 (a number of 23 digits) contains 22 as substring.

Together with 181805224483, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (181805224483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90902612240 + 90902612241.

It is an arithmetic number, because the mean of its divisors is an integer number (90902612241).

Almost surely, 2181805224481 is an apocalyptic number.

It is an amenable number.

181805224481 is a deficient number, since it is larger than the sum of its proper divisors (1).

181805224481 is an equidigital number, since it uses as much as digits as its factorization.

181805224481 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 163840, while the sum is 44.

The spelling of 181805224481 in words is "one hundred eighty-one billion, eight hundred five million, two hundred twenty-four thousand, four hundred eighty-one".