1683536581077 has 32 divisors (see below), whose sum is σ = 2423039248896. Its totient is φ = 1033601342400.

The previous prime is 1683536581043. The next prime is 1683536581091. The reversal of 1683536581077 is 7701856353861.

It is a happy number.

It is not a de Polignac number, because 1683536581077 - 2¹⁶ = 1683536515541 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1683536581077.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1683536581577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51608502 + ... + 51641112.

It is an arithmetic number, because the mean of its divisors is an integer number (75719976528).

Almost surely, 2^{1683536581077} is an apocalyptic number.

It is an amenable number.

1683536581077 is a deficient number, since it is larger than the sum of its proper divisors (739502667819).

1683536581077 is a wasteful number, since it uses less digits than its factorization.

1683536581077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35681.

The product of its (nonzero) digits is 25401600, while the sum is 60.

The spelling of 1683536581077 in words is "one trillion, six hundred eighty-three billion, five hundred thirty-six million, five hundred eighty-one thousand, seventy-seven".