1027677727713 has 32 divisors (see below), whose sum is σ = 1694920192000. Its totient is φ = 539347761216.

The previous prime is 1027677727709. The next prime is 1027677727723. The reversal of 1027677727713 is 3177277767201.

It is not a de Polignac number, because 1027677727713 - 2² = 1027677727709 is a prime.

It is a super-2 number, since 2×1027677727713² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1027677727723) 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, 9403933 + ... + 9512586.

It is an arithmetic number, because the mean of its divisors is an integer number (52966256000).

Almost surely, 2^{1027677727713} is an apocalyptic number.

1027677727713 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1027677727713 is a deficient number, since it is larger than the sum of its proper divisors (667242464287).

1027677727713 is a wasteful number, since it uses less digits than its factorization.

1027677727713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18916741.

The product of its (nonzero) digits is 8470728, while the sum is 57.

The spelling of 1027677727713 in words is "one trillion, twenty-seven billion, six hundred seventy-seven million, seven hundred twenty-seven thousand, seven hundred thirteen".