51000461 has 2 divisors, whose sum is σ = 51000462. Its totient is φ = 51000460.

The previous prime is 51000437. The next prime is 51000463. The reversal of 51000461 is 16400015.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41203561 + 9796900 = 6419^2 + 3130^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-51000461 is a prime.

Together with 51000463, 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 (51000463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25500230 + 25500231.

It is an arithmetic number, because the mean of its divisors is an integer number (25500231).

Almost surely, 2^51000461 is an apocalyptic number.

It is an amenable number.

51000461 is a deficient number, since it is larger than the sum of its proper divisors (1).

51000461 is an equidigital number, since it uses as much as digits as its factorization.

51000461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 51000461 is about 7141.4607049258. The cubic root of 51000461 is about 370.8440942998.

Adding to 51000461 its reverse (16400015), we get a palindrome (67400476).

The spelling of 51000461 in words is "fifty-one million, four hundred sixty-one", and thus it is an aban number.