52584101 has 2 divisors, whose sum is σ = 52584102. Its totient is φ = 52584100.

The previous prime is 52584097. The next prime is 52584143. The reversal of 52584101 is 10148525.

52584101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52548001 + 36100 = 7249^2 + 190^2 .

It is a cyclic number.

It is not a de Polignac number, because 52584101 - 2² = 52584097 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (52584151) 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, 26292050 + 26292051.

It is an arithmetic number, because the mean of its divisors is an integer number (26292051).

Almost surely, 2^52584101 is an apocalyptic number.

It is an amenable number.

52584101 is a deficient number, since it is larger than the sum of its proper divisors (1).

52584101 is an equidigital number, since it uses as much as digits as its factorization.

52584101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1600, while the sum is 26.

The square root of 52584101 is about 7251.4895711157. The cubic root of 52584101 is about 374.6434560742.

The spelling of 52584101 in words is "fifty-two million, five hundred eighty-four thousand, one hundred one".