10513409633 has 2 divisors, whose sum is σ = 10513409634. Its totient is φ = 10513409632.

The previous prime is 10513409629. The next prime is 10513409653. The reversal of 10513409633 is 33690431501.

10513409633 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5969571169 + 4543838464 = 77263^2 + 67408^2 .

It is a cyclic number.

It is not a de Polignac number, because 10513409633 - 2² = 10513409629 is a prime.

It is a super-2 number, since 2×10513409633² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10513409593 and 10513409602.

It is not a weakly prime, because it can be changed into another prime (10513409623) 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, 5256704816 + 5256704817.

It is an arithmetic number, because the mean of its divisors is an integer number (5256704817).

Almost surely, 2^10513409633 is an apocalyptic number.

It is an amenable number.

10513409633 is a deficient number, since it is larger than the sum of its proper divisors (1).

10513409633 is an equidigital number, since it uses as much as digits as its factorization.

10513409633 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29160, while the sum is 35.

The spelling of 10513409633 in words is "ten billion, five hundred thirteen million, four hundred nine thousand, six hundred thirty-three".