33545340289 has 2 divisors, whose sum is σ = 33545340290. Its totient is φ = 33545340288.

The previous prime is 33545340247. The next prime is 33545340329. The reversal of 33545340289 is 98204354533.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28990170225 + 4555170064 = 170265^2 + 67492^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-33545340289 is a prime.

It is a super-3 number, since 3×33545340289³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (33545340209) 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, 16772670144 + 16772670145.

It is an arithmetic number, because the mean of its divisors is an integer number (16772670145).

Almost surely, 2^33545340289 is an apocalyptic number.

It is an amenable number.

33545340289 is a deficient number, since it is larger than the sum of its proper divisors (1).

33545340289 is an equidigital number, since it uses as much as digits as its factorization.

33545340289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1555200, while the sum is 46.

The spelling of 33545340289 in words is "thirty-three billion, five hundred forty-five million, three hundred forty thousand, two hundred eighty-nine".