99750735525841 has 9 divisors (see below), whose sum is σ = 99856405455313. Its totient is φ = 99645177331840.

The previous prime is 99750735525809. The next prime is 99750735525863. The reversal of 99750735525841 is 14852553705799.

The square root of 99750735525841 is 9987529.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 16291548165841 + 83459187360000 = 4036279^2 + 9135600^2 .

It is not a de Polignac number, because 99750735525841 - 2⁵ = 99750735525809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (99750735525241) 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 in 8 ways as a sum of consecutive naturals, for example, 10476913161 + ... + 10476922681.

Almost surely, 2^{99750735525841} is an apocalyptic number.

99750735525841 is the 9987529-th square number.

99750735525841 is the 4993765-th centered octagonal number.

It is an amenable number.

99750735525841 is a deficient number, since it is larger than the sum of its proper divisors (105669929472).

99750735525841 is an frugal number, since it uses more digits than its factorization.

99750735525841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21140 (or 10570 counting only the distinct ones).

The product of its (nonzero) digits is 476280000, while the sum is 70.

The spelling of 99750735525841 in words is "ninety-nine trillion, seven hundred fifty billion, seven hundred thirty-five million, five hundred twenty-five thousand, eight hundred forty-one".