130337606529 has 27 divisors (see below), whose sum is σ = 203883409353. Its totient is φ = 80199093312.

The previous prime is 130337606471. The next prime is 130337606573. The reversal of 130337606529 is 925606733031.

The square root of 130337606529 is 361023.

It is a perfect power (a square), and thus also a powerful number.

130337606529 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 37 + 606 + 5 + 2 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 83187826929 + 47149779600 = 288423^2 + 217140^2 .

It is not a de Polignac number, because 130337606529 - 2¹⁹ = 130337082241 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (130337605529) 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 26 ways as a sum of consecutive naturals, for example, 14075269 + ... + 14084525.

Almost surely, 2^130337606529 is an apocalyptic number.

130337606529 is the 361023-rd square number.

130337606529 is the 180512-nd centered octagonal number.

It is an amenable number.

130337606529 is a deficient number, since it is larger than the sum of its proper divisors (73545802824).

130337606529 is an frugal number, since it uses more digits than its factorization.

130337606529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18546 (or 9273 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The spelling of 130337606529 in words is "one hundred thirty billion, three hundred thirty-seven million, six hundred six thousand, five hundred twenty-nine".