82581516900 has 405 divisors, whose sum is σ = 279322202313. Its totient is φ = 21104452800.

The previous prime is 82581516887. The next prime is 82581516923. The reversal of 82581516900 is 961518528.

It is a happy number.

The square root of 82581516900 is 287370.

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

82581516900 is a `hidden beast` number, since 8 + 2 + 581 + 5 + 1 + 69 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29729346084 + 52852170816 = 172422^2 + 229896^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a super-2 number, since 2×82581516900² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 801762249 + ... + 801762351.

Almost surely, 2^82581516900 is an apocalyptic number.

82581516900 is the 287370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82581516900

82581516900 is an abundant number, since it is smaller than the sum of its proper divisors (196740685413).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82581516900 is a wasteful number, since it uses less digits than its factorization.

82581516900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 82581516900 in words is "eighty-two billion, five hundred eighty-one million, five hundred sixteen thousand, nine hundred".