33642640513 has 2 divisors, whose sum is σ = 33642640514. Its totient is φ = 33642640512.

The previous prime is 33642640481. The next prime is 33642640519. The reversal of 33642640513 is 31504624633.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17448296464 + 16194344049 = 132092^2 + 127257^2 .

It is an emirp because it is prime and its reverse (31504624633) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33642640513 - 2⁵ = 33642640481 is a prime.

It is a super-2 number, since 2×33642640513² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33642640519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16821320256 + 16821320257.

It is an arithmetic number, because the mean of its divisors is an integer number (16821320257).

Almost surely, 2^33642640513 is an apocalyptic number.

It is an amenable number.

33642640513 is a deficient number, since it is larger than the sum of its proper divisors (1).

33642640513 is an equidigital number, since it uses as much as digits as its factorization.

33642640513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 155520, while the sum is 37.

The spelling of 33642640513 in words is "thirty-three billion, six hundred forty-two million, six hundred forty thousand, five hundred thirteen".