513912240 has 240 divisors, whose sum is σ = 1799456256. Its totient is φ = 131328000.

The previous prime is 513912229. The next prime is 513912293. The reversal of 513912240 is 42219315.

513912240 is a `hidden beast` number, since 51 + 391 + 224 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2690545 + ... + 2690735.

Almost surely, 2^513912240 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 513912240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899728128).

513912240 is an abundant number, since it is smaller than the sum of its proper divisors (1285544016).

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

513912240 is a wasteful number, since it uses less digits than its factorization.

513912240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 513912240 is about 22669.6325510583. The cubic root of 513912240 is about 800.9947209834.

The spelling of 513912240 in words is "five hundred thirteen million, nine hundred twelve thousand, two hundred forty".