130509353 has 8 divisors (see below), whose sum is σ = 140649096. Its totient is φ = 120384000.

The previous prime is 130509319. The next prime is 130509403. The reversal of 130509353 is 353905031.

It can be written as a sum of positive squares in 4 ways, for example, as 8340544 + 122168809 = 2888^2 + 11053^2 .

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 130509353 - 2²⁰ = 129460777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130509053) 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, 22073 + ... + 27353.

It is an arithmetic number, because the mean of its divisors is an integer number (17581137).

Almost surely, 2^130509353 is an apocalyptic number.

130509353 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

130509353 is a deficient number, since it is larger than the sum of its proper divisors (10139743).

130509353 is a wasteful number, since it uses less digits than its factorization.

130509353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7195.

The product of its (nonzero) digits is 6075, while the sum is 29.

The square root of 130509353 is about 11424.0690211500. The cubic root of 130509353 is about 507.2404496781.

The spelling of 130509353 in words is "one hundred thirty million, five hundred nine thousand, three hundred fifty-three".