65005901 has 2 divisors, whose sum is σ = 65005902. Its totient is φ = 65005900.

The previous prime is 65005873. The next prime is 65005903. The reversal of 65005901 is 10950056.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64802500 + 203401 = 8050^2 + 451^2 .

It is a cyclic number.

It is not a de Polignac number, because 65005901 - 2¹⁴ = 64989517 is a prime.

It is a Sophie Germain prime.

Together with 65005903, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (65005903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32502950 + 32502951.

It is an arithmetic number, because the mean of its divisors is an integer number (32502951).

Almost surely, 2^65005901 is an apocalyptic number.

It is an amenable number.

65005901 is a deficient number, since it is larger than the sum of its proper divisors (1).

65005901 is an equidigital number, since it uses as much as digits as its factorization.

65005901 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1350, while the sum is 26.

The square root of 65005901 is about 8062.6237044773. The cubic root of 65005901 is about 402.0847428254.

Adding to 65005901 its reverse (10950056), we get a palindrome (75955957).

The spelling of 65005901 in words is "sixty-five million, five thousand, nine hundred one".