461986561 has 2 divisors, whose sum is σ = 461986562. Its totient is φ = 461986560.

The previous prime is 461986519. The next prime is 461986571. The reversal of 461986561 is 165689164.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 402403600 + 59582961 = 20060^2 + 7719^2 .

It is a cyclic number.

It is not a de Polignac number, because 461986561 - 2²³ = 453597953 is a prime.

It is not a weakly prime, because it can be changed into another prime (461986571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 230993280 + 230993281.

It is an arithmetic number, because the mean of its divisors is an integer number (230993281).

Almost surely, 2^461986561 is an apocalyptic number.

It is an amenable number.

461986561 is a deficient number, since it is larger than the sum of its proper divisors (1).

461986561 is an equidigital number, since it uses as much as digits as its factorization.

461986561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 311040, while the sum is 46.

The square root of 461986561 is about 21493.8726384986. The cubic root of 461986561 is about 773.0539093837.

The spelling of 461986561 in words is "four hundred sixty-one million, nine hundred eighty-six thousand, five hundred sixty-one".