10634577563 has 2 divisors, whose sum is σ = 10634577564. Its totient is φ = 10634577562.

The previous prime is 10634577517. The next prime is 10634577589. The reversal of 10634577563 is 36577543601.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10634577563 is a prime.

It is a super-2 number, since 2×10634577563² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10634577763) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5317288781 + 5317288782.

It is an arithmetic number, because the mean of its divisors is an integer number (5317288782).

Almost surely, 2^10634577563 is an apocalyptic number.

10634577563 is a deficient number, since it is larger than the sum of its proper divisors (1).

10634577563 is an equidigital number, since it uses as much as digits as its factorization.

10634577563 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1587600, while the sum is 47.

The spelling of 10634577563 in words is "ten billion, six hundred thirty-four million, five hundred seventy-seven thousand, five hundred sixty-three".