10513145633 has 2 divisors, whose sum is σ = 10513145634. Its totient is φ = 10513145632.

The previous prime is 10513145581. The next prime is 10513145641. The reversal of 10513145633 is 33654131501.

10513145633 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10503585169 + 9560464 = 102487^2 + 3092^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10513145633 is a prime.

It is a super-2 number, since 2×10513145633² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10513145633.

It is not a weakly prime, because it can be changed into another prime (10513145663) 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, 5256572816 + 5256572817.

It is an arithmetic number, because the mean of its divisors is an integer number (5256572817).

Almost surely, 2^10513145633 is an apocalyptic number.

It is an amenable number.

10513145633 is a deficient number, since it is larger than the sum of its proper divisors (1).

10513145633 is an equidigital number, since it uses as much as digits as its factorization.

10513145633 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16200, while the sum is 32.

The spelling of 10513145633 in words is "ten billion, five hundred thirteen million, one hundred forty-five thousand, six hundred thirty-three".