513480000 has 280 divisors, whose sum is σ = 1856780640. Its totient is φ = 124160000.

The previous prime is 513479999. The next prime is 513480031. The reversal of 513480000 is 84315.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1319806 + ... + 1320194.

Almost surely, 2^513480000 is an apocalyptic number.

513480000 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 513480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928390320).

513480000 is an abundant number, since it is smaller than the sum of its proper divisors (1343300640).

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

513480000 is a wasteful number, since it uses less digits than its factorization.

513480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 513480000 is about 22660.0970871707. The cubic root of 513480000 is about 800.7700917938.

The spelling of 513480000 in words is "five hundred thirteen million, four hundred eighty thousand".