51600401 has 2 divisors, whose sum is σ = 51600402. Its totient is φ = 51600400.

The previous prime is 51600383. The next prime is 51600467. The reversal of 51600401 is 10400615.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 40972801 + 10627600 = 6401^2 + 3260^2 .

It is a cyclic number.

It is not a de Polignac number, because 51600401 - 2¹⁰ = 51599377 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 51600401.

It is not a weakly prime, because it can be changed into another prime (51600701) 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, 25800200 + 25800201.

It is an arithmetic number, because the mean of its divisors is an integer number (25800201).

Almost surely, 2^51600401 is an apocalyptic number.

It is an amenable number.

51600401 is a deficient number, since it is larger than the sum of its proper divisors (1).

51600401 is an equidigital number, since it uses as much as digits as its factorization.

51600401 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 51600401 is about 7183.3419102810. The cubic root of 51600401 is about 372.2925614090.

The spelling of 51600401 in words is "fifty-one million, six hundred thousand, four hundred one".