34000001000653 has 2 divisors, whose sum is σ = 34000001000654. Its totient is φ = 34000001000652.

The previous prime is 34000001000611. The next prime is 34000001000677. The reversal of 34000001000653 is 35600010000043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17322227352004 + 16677773648649 = 4161998^2 + 4083843^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34000001000653 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34000001000683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17000000500326 + 17000000500327.

It is an arithmetic number, because the mean of its divisors is an integer number (17000000500327).

Almost surely, 2^{34000001000653} is an apocalyptic number.

It is an amenable number.

34000001000653 is a deficient number, since it is larger than the sum of its proper divisors (1).

34000001000653 is an equidigital number, since it uses as much as digits as its factorization.

34000001000653 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 22.

Adding to 34000001000653 its reverse (35600010000043), we get a palindrome (69600011000696).

The spelling of 34000001000653 in words is "thirty-four trillion, one million, six hundred fifty-three", and thus it is an aban number.