51967301 has 2 divisors, whose sum is σ = 51967302. Its totient is φ = 51967300.

The previous prime is 51967273. The next prime is 51967309. The reversal of 51967301 is 10376915.

51967301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 48636676 + 3330625 = 6974^2 + 1825^2 .

It is a cyclic number.

It is not a de Polignac number, because 51967301 - 2¹⁴ = 51950917 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (51967309) 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, 25983650 + 25983651.

It is an arithmetic number, because the mean of its divisors is an integer number (25983651).

Almost surely, 2^51967301 is an apocalyptic number.

It is an amenable number.

51967301 is a deficient number, since it is larger than the sum of its proper divisors (1).

51967301 is an equidigital number, since it uses as much as digits as its factorization.

51967301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5670, while the sum is 32.

The square root of 51967301 is about 7208.8349266716. The cubic root of 51967301 is about 373.1728624933.

The spelling of 51967301 in words is "fifty-one million, nine hundred sixty-seven thousand, three hundred one".