83357506089 has 81 divisors (see below), whose sum is σ = 143523164421. Its totient is φ = 46564277760.

The previous prime is 83357506031. The next prime is 83357506103. The reversal of 83357506089 is 98060575338.

It is a happy number.

The square root of 83357506089 is 288717.

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

83357506089 is a `hidden beast` number, since 8 + 3 + 3 + 57 + 506 + 0 + 89 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24045774489 + 59311731600 = 155067^2 + 243540^2 .

It is not a de Polignac number, because 83357506089 - 2⁷ = 83357505961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83357506789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 123859257 + ... + 123859929.

Almost surely, 2^83357506089 is an apocalyptic number.

83357506089 is the 288717-th square number.

83357506089 is the 144359-th centered octagonal number.

It is an amenable number.

83357506089 is a deficient number, since it is larger than the sum of its proper divisors (60165658332).

83357506089 is a wasteful number, since it uses less digits than its factorization.

83357506089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 83357506089 in words is "eighty-three billion, three hundred fifty-seven million, five hundred six thousand, eighty-nine".