513145530 has 96 divisors (see below), whose sum is σ = 1413345024. Its totient is φ = 133897536.

The previous prime is 513145469. The next prime is 513145541. The reversal of 513145530 is 35541315.

513145530 is a `hidden beast` number, since 513 + 145 + 5 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 513145494 and 513145503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111964 + ... + 116456.

It is an arithmetic number, because the mean of its divisors is an integer number (14722344).

Almost surely, 2^513145530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513145530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706672512).

513145530 is an abundant number, since it is smaller than the sum of its proper divisors (900199494).

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

513145530 is a wasteful number, since it uses less digits than its factorization.

513145530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4562 (or 4550 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 513145530 is about 22652.7157312319. The cubic root of 513145530 is about 800.5961858011.

Adding to 513145530 its reverse (35541315), we get a palindrome (548686845).

The spelling of 513145530 in words is "five hundred thirteen million, one hundred forty-five thousand, five hundred thirty".