827181977141 has 8 divisors (see below), whose sum is σ = 905414825784. Its totient is φ = 751035337920.

The previous prime is 827181977119. The next prime is 827181977159. The reversal of 827181977141 is 141779181728.

827181977141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 51417376516 + 775764600625 = 226754^2 + 880775^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-827181977141 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827181977441) 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, 521551526 + ... + 521553111.

It is an arithmetic number, because the mean of its divisors is an integer number (113176853223).

Almost surely, 2^827181977141 is an apocalyptic number.

It is an amenable number.

827181977141 is a deficient number, since it is larger than the sum of its proper divisors (78232848643).

827181977141 is a wasteful number, since it uses less digits than its factorization.

827181977141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043104711.

The product of its digits is 1580544, while the sum is 56.

The spelling of 827181977141 in words is "eight hundred twenty-seven billion, one hundred eighty-one million, nine hundred seventy-seven thousand, one hundred forty-one".