81727165413 has 48 divisors (see below), whose sum is σ = 120900648960. Its totient is φ = 53186408352.

The previous prime is 81727165381. The next prime is 81727165447. The reversal of 81727165413 is 31456172718.

81727165413 is a `hidden beast` number, since 8 + 1 + 72 + 7 + 165 + 413 = 666.

It is not a de Polignac number, because 81727165413 - 2⁵ = 81727165381 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81727165313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32136820 + ... + 32139362.

It is an arithmetic number, because the mean of its divisors is an integer number (2518763520).

Almost surely, 2^81727165413 is an apocalyptic number.

It is an amenable number.

81727165413 is a deficient number, since it is larger than the sum of its proper divisors (39173483547).

81727165413 is a wasteful number, since it uses less digits than its factorization.

81727165413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3078 (or 3075 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The spelling of 81727165413 in words is "eighty-one billion, seven hundred twenty-seven million, one hundred sixty-five thousand, four hundred thirteen".