513870336 has 240 divisors, whose sum is σ = 1723550400. Its totient is φ = 144359424.

The previous prime is 513870323. The next prime is 513870341. The reversal of 513870336 is 633078315.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 513870336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2870695 + ... + 2870873.

It is an arithmetic number, because the mean of its divisors is an integer number (7181460).

Almost surely, 2^513870336 is an apocalyptic number.

513870336 is a gapful number since it is divisible by the number (56) 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 513870336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861775200).

513870336 is an abundant number, since it is smaller than the sum of its proper divisors (1209680064).

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

513870336 is a wasteful number, since it uses less digits than its factorization.

513870336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 513870336 is about 22668.7083002098. The cubic root of 513870336 is about 800.9729495651.

The spelling of 513870336 in words is "five hundred thirteen million, eight hundred seventy thousand, three hundred thirty-six".