513144240 has 320 divisors, whose sum is σ = 1919877120. Its totient is φ = 110914560.

The previous prime is 513144239. The next prime is 513144253. The reversal of 513144240 is 42441315.

It is a super-2 number, since 2×513144240² = 526634022090355200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 513144240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3072637 + ... + 3072803.

It is an arithmetic number, because the mean of its divisors is an integer number (5999616).

Almost surely, 2^513144240 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 513144240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959938560).

513144240 is an abundant number, since it is smaller than the sum of its proper divisors (1406732880).

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

513144240 is a wasteful number, since it uses less digits than its factorization.

513144240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 513144240 is about 22652.6872578067. The cubic root of 513144240 is about 800.5955149258.

Adding to 513144240 its reverse (42441315), we get a palindrome (555585555).

The spelling of 513144240 in words is "five hundred thirteen million, one hundred forty-four thousand, two hundred forty".