100517507509 has 2 divisors, whose sum is σ = 100517507510. Its totient is φ = 100517507508.

The previous prime is 100517507491. The next prime is 100517507539. The reversal of 100517507509 is 905705715001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92509047409 + 8008460100 = 304153^2 + 89490^2 .

It is a cyclic number.

It is not a de Polignac number, because 100517507509 - 2⁷ = 100517507381 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100517507539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50258753754 + 50258753755.

It is an arithmetic number, because the mean of its divisors is an integer number (50258753755).

Almost surely, 2^100517507509 is an apocalyptic number.

It is an amenable number.

100517507509 is a deficient number, since it is larger than the sum of its proper divisors (1).

100517507509 is an equidigital number, since it uses as much as digits as its factorization.

100517507509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 55125, while the sum is 40.

The spelling of 100517507509 in words is "one hundred billion, five hundred seventeen million, five hundred seven thousand, five hundred nine".