83000082583305 has 16 divisors (see below), whose sum is σ = 147555702370560. Its totient is φ = 44266710711024.

The previous prime is 83000082583291. The next prime is 83000082583307. The reversal of 83000082583305 is 50338528000038.

83000082583305 is a `hidden beast` number, since 8 + 30 + 0 + 0 + 0 + 8 + 2 + 583 + 30 + 5 = 666.

It is not a de Polignac number, because 83000082583305 - 2²¹ = 83000080486153 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (83000082583307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307407713137 + ... + 307407713406.

It is an arithmetic number, because the mean of its divisors is an integer number (9222231398160).

Almost surely, 2^{83000082583305} is an apocalyptic number.

It is an amenable number.

83000082583305 is a deficient number, since it is larger than the sum of its proper divisors (64555619787255).

83000082583305 is a wasteful number, since it uses less digits than its factorization.

83000082583305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614815426557 (or 614815426551 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 83000082583305 in words is "eighty-three trillion, eighty-two million, five hundred eighty-three thousand, three hundred five".