52101017 has 2 divisors, whose sum is σ = 52101018. Its totient is φ = 52101016.

The previous prime is 52100999. The next prime is 52101083. The reversal of 52101017 is 71010125.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51897616 + 203401 = 7204^2 + 451^2 .

It is a cyclic number.

It is not a de Polignac number, because 52101017 - 2¹⁶ = 52035481 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 52100986 and 52101004.

It is not a weakly prime, because it can be changed into another prime (52101817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26050508 + 26050509.

It is an arithmetic number, because the mean of its divisors is an integer number (26050509).

Almost surely, 2^52101017 is an apocalyptic number.

It is an amenable number.

52101017 is a deficient number, since it is larger than the sum of its proper divisors (1).

52101017 is an equidigital number, since it uses as much as digits as its factorization.

52101017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 70, while the sum is 17.

The square root of 52101017 is about 7218.1034212596. The cubic root of 52101017 is about 373.4926561867.

The spelling of 52101017 in words is "fifty-two million, one hundred one thousand, seventeen".