65006057 has 2 divisors, whose sum is σ = 65006058. Its totient is φ = 65006056.

The previous prime is 65006047. The next prime is 65006059. The reversal of 65006057 is 75060056.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41783296 + 23222761 = 6464^2 + 4819^2 .

It is a cyclic number.

It is not a de Polignac number, because 65006057 - 2¹⁰ = 65005033 is a prime.

Together with 65006059, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (65006059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32503028 + 32503029.

It is an arithmetic number, because the mean of its divisors is an integer number (32503029).

Almost surely, 2^65006057 is an apocalyptic number.

It is an amenable number.

65006057 is a deficient number, since it is larger than the sum of its proper divisors (1).

65006057 is an equidigital number, since it uses as much as digits as its factorization.

65006057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6300, while the sum is 29.

The square root of 65006057 is about 8062.6333787417. The cubic root of 65006057 is about 402.0850644638.

The spelling of 65006057 in words is "sixty-five million, six thousand, fifty-seven".