99815545137529 has 45 divisors (see below), whose sum is σ = 111792527992041. Its totient is φ = 89118494421840.

The previous prime is 99815545137481. The next prime is 99815545137547. The reversal of 99815545137529 is 92573154551899.

It is a happy number.

The square root of 99815545137529 is 9990773.

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

It can be written as a sum of positive squares in 2 ways, for example, as 49490141615929 + 50325403521600 = 7034923^2 + 7094040^2 .

It is not a de Polignac number, because 99815545137529 - 2⁹ = 99815545137017 is a prime.

It is a super-2 number, since 2×99815545137529² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (99815545137589) 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 44 ways as a sum of consecutive naturals, for example, 52341658794 + ... + 52341660700.

Almost surely, 2^{99815545137529} is an apocalyptic number.

99815545137529 is the 9990773-rd square number.

99815545137529 is the 4995387-th centered octagonal number.

It is an amenable number.

99815545137529 is a deficient number, since it is larger than the sum of its proper divisors (11976982854512).

99815545137529 is an frugal number, since it uses more digits than its factorization.

99815545137529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3928 (or 1951 counting only the distinct ones).

The product of its digits is 612360000, while the sum is 73.

The spelling of 99815545137529 in words is "ninety-nine trillion, eight hundred fifteen billion, five hundred forty-five million, one hundred thirty-seven thousand, five hundred twenty-nine".