27905131741 has 8 divisors (see below), whose sum is σ = 28113489720. Its totient is φ = 27696841728.

The previous prime is 27905131721. The next prime is 27905131783. The reversal of 27905131741 is 14713150972.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3545726116 + 24359405625 = 59546^2 + 156075^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 27905131741 - 2⁷ = 27905131613 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 27905131694 and 27905131703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27905131711) 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, 1059565 + ... + 1085581.

It is an arithmetic number, because the mean of its divisors is an integer number (3514186215).

Almost surely, 2^27905131741 is an apocalyptic number.

It is an amenable number.

27905131741 is a deficient number, since it is larger than the sum of its proper divisors (208357979).

27905131741 is a wasteful number, since it uses less digits than its factorization.

27905131741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33983.

The product of its (nonzero) digits is 52920, while the sum is 40.

The spelling of 27905131741 in words is "twenty-seven billion, nine hundred five million, one hundred thirty-one thousand, seven hundred forty-one".