82733605101 has 96 divisors (see below), whose sum is σ = 152094578688. Its totient is φ = 42246696960.

The previous prime is 82733605099. The next prime is 82733605133. The reversal of 82733605101 is 10150633728.

82733605101 is a `hidden beast` number, since 8 + 2 + 7 + 33 + 605 + 10 + 1 = 666.

It is not a de Polignac number, because 82733605101 - 2¹ = 82733605099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82733605001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1736145 + ... + 1783161.

It is an arithmetic number, because the mean of its divisors is an integer number (1584318528).

Almost surely, 2^82733605101 is an apocalyptic number.

It is an amenable number.

82733605101 is a deficient number, since it is larger than the sum of its proper divisors (69360973587).

82733605101 is a wasteful number, since it uses less digits than its factorization.

82733605101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47131 (or 47128 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 82733605101 in words is "eighty-two billion, seven hundred thirty-three million, six hundred five thousand, one hundred one".