83159352680625 has 405 divisors, whose sum is σ = 166905642475143. Its totient is φ = 39867574032000.

The previous prime is 83159352680611. The next prime is 83159352680627. The reversal of 83159352680625 is 52608625395138.

It is a happy number.

The square root of 83159352680625 is 9119175.

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

83159352680625 is a `hidden beast` number, since 8 + 3 + 1 + 5 + 9 + 3 + 526 + 80 + 6 + 25 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 82139002185249 + 1020350495376 = 9063057^2 + 1010124^2 .

It is not a de Polignac number, because 83159352680625 - 2¹³ = 83159352672433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83159352680627) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 417886194276 + ... + 417886194474.

Almost surely, 2^{83159352680625} is an apocalyptic number.

83159352680625 is the 9119175-th square number.

83159352680625 is the 4559588-th centered octagonal number.

It is an amenable number.

83159352680625 is an abundant number, since it is smaller than the sum of its proper divisors (83746289794518).

83159352680625 is an equidigital number, since it uses as much as digits as its factorization.

83159352680625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 63.

The spelling of 83159352680625 in words is "eighty-three trillion, one hundred fifty-nine billion, three hundred fifty-two million, six hundred eighty thousand, six hundred twenty-five".