51583201 has 2 divisors, whose sum is σ = 51583202. Its totient is φ = 51583200.

The previous prime is 51583183. The next prime is 51583297. The reversal of 51583201 is 10238515.

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., 44422225 + 7160976 = 6665^2 + 2676^2 .

It is a cyclic number.

It is not a de Polignac number, because 51583201 - 2⁷ = 51583073 is a prime.

It is not a weakly prime, because it can be changed into another prime (51583001) 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, 25791600 + 25791601.

It is an arithmetic number, because the mean of its divisors is an integer number (25791601).

Almost surely, 2^51583201 is an apocalyptic number.

It is an amenable number.

51583201 is a deficient number, since it is larger than the sum of its proper divisors (1).

51583201 is an equidigital number, since it uses as much as digits as its factorization.

51583201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 51583201 is about 7182.1445961495. The cubic root of 51583201 is about 372.2511912934.

The spelling of 51583201 in words is "fifty-one million, five hundred eighty-three thousand, two hundred one".