130535514441 has 96 divisors (see below), whose sum is σ = 210350649600. Its totient is φ = 80603652096.

The previous prime is 130535514409. The next prime is 130535514463. The reversal of 130535514441 is 144415535031.

130535514441 is a `hidden beast` number, since 1 + 30 + 535 + 51 + 4 + 4 + 41 = 666.

It is not a de Polignac number, because 130535514441 - 2⁵ = 130535514409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130535514396 and 130535514405.

It is not an unprimeable number, because it can be changed into a prime (130535514401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79739875 + ... + 79741511.

It is an arithmetic number, because the mean of its divisors is an integer number (2191152600).

Almost surely, 2^130535514441 is an apocalyptic number.

It is an amenable number.

130535514441 is a deficient number, since it is larger than the sum of its proper divisors (79815135159).

130535514441 is a wasteful number, since it uses less digits than its factorization.

130535514441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 130535514441 in words is "one hundred thirty billion, five hundred thirty-five million, five hundred fourteen thousand, four hundred forty-one".