513894240 has 192 divisors, whose sum is σ = 1837624320. Its totient is φ = 134069760.

The previous prime is 513894233. The next prime is 513894253. The reversal of 513894240 is 42498315.

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

It is a junction number, because it is equal to n+sod(n) for n = 513894195 and 513894204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201775 + ... + 204305.

It is an arithmetic number, because the mean of its divisors is an integer number (9570960).

Almost surely, 2^513894240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513894240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918812160).

513894240 is an abundant number, since it is smaller than the sum of its proper divisors (1323730080).

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

513894240 is a wasteful number, since it uses less digits than its factorization.

513894240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2602 (or 2588 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 513894240 is about 22669.2355407058. The cubic root of 513894240 is about 800.9853691446.

The spelling of 513894240 in words is "five hundred thirteen million, eight hundred ninety-four thousand, two hundred forty".