513430500 has 288 divisors, whose sum is σ = 1734864768. Its totient is φ = 116928000.

The previous prime is 513430499. The next prime is 513430501. The reversal of 513430500 is 5034315.

It is an interprime number because it is at equal distance from previous prime (513430499) and next prime (513430501).

It is a super-2 number, since 2×513430500² = 527221756660500000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (513430501) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13876482 + ... + 13876518.

It is an arithmetic number, because the mean of its divisors is an integer number (6023836).

Almost surely, 2^513430500 is an apocalyptic number.

513430500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513430500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867432384).

513430500 is an abundant number, since it is smaller than the sum of its proper divisors (1221434268).

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

513430500 is a wasteful number, since it uses less digits than its factorization.

513430500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 513430500 is about 22659.0048325164. The cubic root of 513430500 is about 800.7443592801.

Adding to 513430500 its reverse (5034315), we get a palindrome (518464815).

The spelling of 513430500 in words is "five hundred thirteen million, four hundred thirty thousand, five hundred".