83000285505 has 24 divisors (see below), whose sum is σ = 145291596840. Its totient is φ = 43828531200.

The previous prime is 83000285479. The next prime is 83000285509. The reversal of 83000285505 is 50558200038.

83000285505 is a `hidden beast` number, since 83 + 0 + 0 + 0 + 28 + 550 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4493289024 + 78506996481 = 67032^2 + 280191^2 .

It is not a de Polignac number, because 83000285505 - 2¹² = 83000281409 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 83000285505.

It is not an unprimeable number, because it can be changed into a prime (83000285509) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9126400 + ... + 9135489.

It is an arithmetic number, because the mean of its divisors is an integer number (6053816535).

Almost surely, 2^83000285505 is an apocalyptic number.

It is an amenable number.

83000285505 is a deficient number, since it is larger than the sum of its proper divisors (62291311335).

83000285505 is a wasteful number, since it uses less digits than its factorization.

83000285505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18262001 (or 18261998 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 83000285505 in words is "eighty-three billion, two hundred eighty-five thousand, five hundred five".