100516525573 has 2 divisors, whose sum is σ = 100516525574. Its totient is φ = 100516525572.

The previous prime is 100516525547. The next prime is 100516525601. The reversal of 100516525573 is 375525615001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93414587044 + 7101938529 = 305638^2 + 84273^2 .

It is an emirp because it is prime and its reverse (375525615001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100516525573 - 2⁵ = 100516525541 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100516522573) 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, 50258262786 + 50258262787.

It is an arithmetic number, because the mean of its divisors is an integer number (50258262787).

Almost surely, 2^100516525573 is an apocalyptic number.

It is an amenable number.

100516525573 is a deficient number, since it is larger than the sum of its proper divisors (1).

100516525573 is an equidigital number, since it uses as much as digits as its factorization.

100516525573 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 157500, while the sum is 40.

The spelling of 100516525573 in words is "one hundred billion, five hundred sixteen million, five hundred twenty-five thousand, five hundred seventy-three".