513340000 has 60 divisors (see below), whose sum is σ = 1262942604. Its totient is φ = 205328000.

The previous prime is 513339947. The next prime is 513340027. The reversal of 513340000 is 43315.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7167 + ... + 32833.

Almost surely, 2^513340000 is an apocalyptic number.

513340000 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 513340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631471302).

513340000 is an abundant number, since it is smaller than the sum of its proper divisors (749602604).

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

513340000 is an equidigital number, since it uses as much as digits as its factorization.

513340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25697 (or 25674 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 513340000 is about 22657.0077459492. The cubic root of 513340000 is about 800.6973086908.

Adding to 513340000 its reverse (43315), we get a palindrome (513383315).

The spelling of 513340000 in words is "five hundred thirteen million, three hundred forty thousand".