82737577233 has 12 divisors (see below), whose sum is σ = 120693100788. Its totient is φ = 54612261600.

The previous prime is 82737577217. The next prime is 82737577243. The reversal of 82737577233 is 33277573728.

It is a happy number.

82737577233 is a `hidden beast` number, since 8 + 2 + 7 + 37 + 577 + 2 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 58374425664 + 24363151569 = 241608^2 + 156087^2 .

It is not a de Polignac number, because 82737577233 - 2⁴ = 82737577217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82737577233.

It is not an unprimeable number, because it can be changed into a prime (82737577243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45509310 + ... + 45511127.

It is an arithmetic number, because the mean of its divisors is an integer number (10057758399).

Almost surely, 2^82737577233 is an apocalyptic number.

It is an amenable number.

82737577233 is a deficient number, since it is larger than the sum of its proper divisors (37955523555).

82737577233 is a wasteful number, since it uses less digits than its factorization.

82737577233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91020544 (or 91020541 counting only the distinct ones).

The product of its digits is 10372320, while the sum is 54.

The spelling of 82737577233 in words is "eighty-two billion, seven hundred thirty-seven million, five hundred seventy-seven thousand, two hundred thirty-three".