10040032520033 has 2 divisors, whose sum is σ = 10040032520034. Its totient is φ = 10040032520032.

The previous prime is 10040032519987. The next prime is 10040032520041. The reversal of 10040032520033 is 33002523004001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9977183534224 + 62848985809 = 3158668^2 + 250697^2 .

It is an emirp because it is prime and its reverse (33002523004001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10040032520033 - 2⁶ = 10040032519969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10040032519990 and 10040032520008.

It is not a weakly prime, because it can be changed into another prime (10040032520053) 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, 5020016260016 + 5020016260017.

It is an arithmetic number, because the mean of its divisors is an integer number (5020016260017).

Almost surely, 2^{10040032520033} is an apocalyptic number.

It is an amenable number.

10040032520033 is a deficient number, since it is larger than the sum of its proper divisors (1).

10040032520033 is an equidigital number, since it uses as much as digits as its factorization.

10040032520033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 23.

Adding to 10040032520033 its reverse (33002523004001), we get a palindrome (43042555524034).

The spelling of 10040032520033 in words is "ten trillion, forty billion, thirty-two million, five hundred twenty thousand, thirty-three".