130513504 has 72 divisors (see below), whose sum is σ = 290382624. Its totient is φ = 57657600.

The previous prime is 130513499. The next prime is 130513511. The reversal of 130513504 is 405315031.

130513504 = T₂₂₂ + T₂₂₃ + ... + T₉₂₅.

It is a happy number.

130513504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142809 + ... + 143719.

It is an arithmetic number, because the mean of its divisors is an integer number (4033092).

Almost surely, 2^130513504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130513504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145191312).

130513504 is an abundant number, since it is smaller than the sum of its proper divisors (159869120).

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

130513504 is a wasteful number, since it uses less digits than its factorization.

130513504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 130513504 is about 11424.2506975294. The cubic root of 130513504 is about 507.2458274096.

Adding to 130513504 its reverse (405315031), we get a palindrome (535828535).

The spelling of 130513504 in words is "one hundred thirty million, five hundred thirteen thousand, five hundred four".