10005207533 has 2 divisors, whose sum is σ = 10005207534. Its totient is φ = 10005207532.

The previous prime is 10005207479. The next prime is 10005207539. The reversal of 10005207533 is 33570250001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9811496809 + 193710724 = 99053^2 + 13918^2 .

It is a cyclic number.

It is not a de Polignac number, because 10005207533 - 2⁶ = 10005207469 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10005207539) 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, 5002603766 + 5002603767.

It is an arithmetic number, because the mean of its divisors is an integer number (5002603767).

Almost surely, 2^10005207533 is an apocalyptic number.

It is an amenable number.

10005207533 is a deficient number, since it is larger than the sum of its proper divisors (1).

10005207533 is an equidigital number, since it uses as much as digits as its factorization.

10005207533 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3150, while the sum is 26.

Adding to 10005207533 its reverse (33570250001), we get a palindrome (43575457534).

The spelling of 10005207533 in words is "ten billion, five million, two hundred seven thousand, five hundred thirty-three".