130515 has 32 divisors (see below), whose sum is σ = 262656. Its totient is φ = 53760.

The previous prime is 130513. The next prime is 130517. The reversal of 130515 is 515031.

It is an interprime number because it is at equal distance from previous prime (130513) and next prime (130517).

It is not a de Polignac number, because 130515 - 2¹ = 130513 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 130494 and 130503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1099 + ... + 1211.

It is an arithmetic number, because the mean of its divisors is an integer number (8208).

2¹³⁰⁵¹⁵ is an apocalyptic number.

130515 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

130515 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130515 is a wasteful number, since it uses less digits than its factorization.

130515 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139.

The product of its (nonzero) digits is 75, while the sum is 15.

The square root of 130515 is about 361.2685981372. The cubic root of 130515 is about 50.7247765490.

Adding to 130515 its reverse (515031), we get a palindrome (645546).

The spelling of 130515 in words is "one hundred thirty thousand, five hundred fifteen".