461041121 has 2 divisors, whose sum is σ = 461041122. Its totient is φ = 461041120.

The previous prime is 461041109. The next prime is 461041129. The reversal of 461041121 is 121140164.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 255520225 + 205520896 = 15985^2 + 14336^2 .

It is a cyclic number.

It is not a de Polignac number, because 461041121 - 2⁶ = 461041057 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 461041093 and 461041102.

It is not a weakly prime, because it can be changed into another prime (461041129) 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, 230520560 + 230520561.

It is an arithmetic number, because the mean of its divisors is an integer number (230520561).

Almost surely, 2^461041121 is an apocalyptic number.

It is an amenable number.

461041121 is a deficient number, since it is larger than the sum of its proper divisors (1).

461041121 is an equidigital number, since it uses as much as digits as its factorization.

461041121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 461041121 is about 21471.8681301837. The cubic root of 461041121 is about 772.5262062796.

Adding to 461041121 its reverse (121140164), we get a palindrome (582181285).

It can be divided in two parts, 461041 and 121, that multiplied together give a square (55785961 = 7469²).

The spelling of 461041121 in words is "four hundred sixty-one million, forty-one thousand, one hundred twenty-one".