83082775657617 has 8 divisors (see below), whose sum is σ = 123085593566880. Its totient is φ = 55388517105060.

The previous prime is 83082775657579. The next prime is 83082775657657. The reversal of 83082775657617 is 71675657728038.

83082775657617 is a `hidden beast` number, since 8 + 30 + 8 + 2 + 7 + 7 + 5 + 6 + 576 + 17 = 666.

It is not a de Polignac number, because 83082775657617 - 2⁷ = 83082775657489 is a prime.

It is a super-2 number, since 2×83082775657617² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (83082775657657) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1538569919559 + ... + 1538569919612.

It is an arithmetic number, because the mean of its divisors is an integer number (15385699195860).

Almost surely, 2^{83082775657617} is an apocalyptic number.

It is an amenable number.

83082775657617 is a deficient number, since it is larger than the sum of its proper divisors (40002817909263).

83082775657617 is a wasteful number, since it uses less digits than its factorization.

83082775657617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3077139839180 (or 3077139839174 counting only the distinct ones).

The product of its (nonzero) digits is 829785600, while the sum is 72.

The spelling of 83082775657617 in words is "eighty-three trillion, eighty-two billion, seven hundred seventy-five million, six hundred fifty-seven thousand, six hundred seventeen".