10634577517 has 2 divisors, whose sum is σ = 10634577518. Its totient is φ = 10634577516.

The previous prime is 10634577469. The next prime is 10634577563. The reversal of 10634577517 is 71577543601.

It is an a-pointer prime, because the next prime (10634577563) can be obtained adding 10634577517 to its sum of digits (46).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6755031721 + 3879545796 = 82189^2 + 62286^2 .

It is an emirp because it is prime and its reverse (71577543601) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10634577517 is a prime.

It is a super-2 number, since 2×10634577517² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10634577017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5317288758 + 5317288759.

It is an arithmetic number, because the mean of its divisors is an integer number (5317288759).

Almost surely, 2^10634577517 is an apocalyptic number.

It is an amenable number.

10634577517 is a deficient number, since it is larger than the sum of its proper divisors (1).

10634577517 is an equidigital number, since it uses as much as digits as its factorization.

10634577517 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 617400, while the sum is 46.

The spelling of 10634577517 in words is "ten billion, six hundred thirty-four million, five hundred seventy-seven thousand, five hundred seventeen".