130432596481 has 32 divisors (see below), whose sum is σ = 155534762880. Its totient is φ = 108092620800.

The previous prime is 130432596439. The next prime is 130432596491. The reversal of 130432596481 is 184695234031.

It is a happy number.

It is a 3-Lehmer number, since φ(130432596481) divides (130432596481-1)³.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 130432596481 - 2²³ = 130424207873 is a prime.

It is a super-2 number, since 2×130432596481² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a deceptive number, since it divides R_130432596480.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130432596401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 521281 + ... + 729793.

It is an arithmetic number, because the mean of its divisors is an integer number (4860461340).

It is a Poulet number, since it divides 2^130432596480-1.

Almost surely, 2^130432596481 is an apocalyptic number.

130432596481 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130432596481 is the 208513-rd octagonal number.

It is an amenable number.

130432596481 is a deficient number, since it is larger than the sum of its proper divisors (25102166399).

130432596481 is a wasteful number, since it uses less digits than its factorization.

130432596481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208657.

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 130432596481 in words is "one hundred thirty billion, four hundred thirty-two million, five hundred ninety-six thousand, four hundred eighty-one".