65728000001 has 2 divisors, whose sum is σ = 65728000002. Its totient is φ = 65728000000.

The previous prime is 65727999937. The next prime is 65728000003. The reversal of 65728000001 is 10000082756.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64223723776 + 1504276225 = 253424^2 + 38785^2 .

It is a cyclic number.

It is not a de Polignac number, because 65728000001 - 2⁶ = 65727999937 is a prime.

Together with 65728000003, 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 (65728000003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32864000000 + 32864000001.

It is an arithmetic number, because the mean of its divisors is an integer number (32864000001).

Almost surely, 2^65728000001 is an apocalyptic number.

It is an amenable number.

65728000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

65728000001 is an equidigital number, since it uses as much as digits as its factorization.

65728000001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3360, while the sum is 29.

Adding to 65728000001 its reverse (10000082756), we get a palindrome (75728082757).

The spelling of 65728000001 in words is "sixty-five billion, seven hundred twenty-eight million, one", and thus it is an aban number.