33642541601 has 2 divisors, whose sum is σ = 33642541602. Its totient is φ = 33642541600.

The previous prime is 33642541487. The next prime is 33642541613. The reversal of 33642541601 is 10614524633.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29695560976 + 3946980625 = 172324^2 + 62825^2 .

It is a cyclic number.

It is not a de Polignac number, because 33642541601 - 2¹⁰ = 33642540577 is a prime.

It is a super-2 number, since 2×33642541601² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33642541001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16821270800 + 16821270801.

It is an arithmetic number, because the mean of its divisors is an integer number (16821270801).

Almost surely, 2^33642541601 is an apocalyptic number.

It is an amenable number.

33642541601 is a deficient number, since it is larger than the sum of its proper divisors (1).

33642541601 is an equidigital number, since it uses as much as digits as its factorization.

33642541601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 51840, while the sum is 35.

The spelling of 33642541601 in words is "thirty-three billion, six hundred forty-two million, five hundred forty-one thousand, six hundred one".