131511005541 has 40 divisors (see below), whose sum is σ = 201890845464. Its totient is φ = 85261662720.

The previous prime is 131511005533. The next prime is 131511005669. The reversal of 131511005541 is 145500115131.

131511005541 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 1 + 100 + 554 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44999136900 + 86511868641 = 212130^2 + 294129^2 .

It is not a de Polignac number, because 131511005541 - 2³ = 131511005533 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131511005501) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 976215 + ... + 1102731.

Almost surely, 2^131511005541 is an apocalyptic number.

It is an amenable number.

131511005541 is a deficient number, since it is larger than the sum of its proper divisors (70379839923).

131511005541 is a wasteful number, since it uses less digits than its factorization.

131511005541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126883 (or 126874 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 27.

The spelling of 131511005541 in words is "one hundred thirty-one billion, five hundred eleven million, five thousand, five hundred forty-one".