82663105827537 has 32 divisors (see below), whose sum is σ = 124775699045760. Its totient is φ = 54068429862720.

The previous prime is 82663105827527. The next prime is 82663105827647. The reversal of 82663105827537 is 73572850136628.

82663105827537 is a `hidden beast` number, since 8 + 2 + 6 + 6 + 3 + 10 + 5 + 82 + 7 + 537 = 666.

It is not a de Polignac number, because 82663105827537 - 2⁶ = 82663105827473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82663105827527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198109587 + ... + 198526407.

It is an arithmetic number, because the mean of its divisors is an integer number (3899240595180).

Almost surely, 2^{82663105827537} is an apocalyptic number.

It is an amenable number.

82663105827537 is a deficient number, since it is larger than the sum of its proper divisors (42112593218223).

82663105827537 is a wasteful number, since it uses less digits than its factorization.

82663105827537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555470 (or 555464 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 82663105827537 in words is "eighty-two trillion, six hundred sixty-three billion, one hundred five million, eight hundred twenty-seven thousand, five hundred thirty-seven".