130513409 has 8 divisors (see below), whose sum is σ = 140704872. Its totient is φ = 120343680.

The previous prime is 130513399. The next prime is 130513447. The reversal of 130513409 is 904315031.

It can be written as a sum of positive squares in 4 ways, for example, as 7924225 + 122589184 = 2815^2 + 11072^2 .

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 130513409 - 2⁸ = 130513153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130513499) 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, 8357 + ... + 18189.

It is an arithmetic number, because the mean of its divisors is an integer number (17588109).

Almost surely, 2^130513409 is an apocalyptic number.

It is an amenable number.

130513409 is a deficient number, since it is larger than the sum of its proper divisors (10191463).

130513409 is a wasteful number, since it uses less digits than its factorization.

130513409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10867.

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 130513409 is about 11424.2465397067. The cubic root of 130513409 is about 507.2457043358.

The spelling of 130513409 in words is "one hundred thirty million, five hundred thirteen thousand, four hundred nine".