513500130 has 192 divisors, whose sum is σ = 1661482368. Its totient is φ = 108103680.

The previous prime is 513500111. The next prime is 513500131. The reversal of 513500130 is 31005315.

513500130 = T₇₇₆₄ + T₇₇₆₅ + ... + T₇₇₈₀.

It is a happy number.

It is a super-3 number, since 3×513500130³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (513500131) 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 95 ways as a sum of consecutive naturals, for example, 217617 + ... + 219963.

It is an arithmetic number, because the mean of its divisors is an integer number (8653554).

Almost surely, 2^513500130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513500130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830741184).

513500130 is an abundant number, since it is smaller than the sum of its proper divisors (1147982238).

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

513500130 is a wasteful number, since it uses less digits than its factorization.

513500130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2401 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 513500130 is about 22660.5412556717. The cubic root of 513500130 is about 800.7805558763.

Adding to 513500130 its reverse (31005315), we get a palindrome (544505445).

The spelling of 513500130 in words is "five hundred thirteen million, five hundred thousand, one hundred thirty".