513126240 has 192 divisors, whose sum is σ = 1777386240. Its totient is φ = 123402240.

The previous prime is 513126223. The next prime is 513126241. The reversal of 513126240 is 42621315.

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 513126240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513126241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 828651 + ... + 829269.

It is an arithmetic number, because the mean of its divisors is an integer number (9257220).

Almost surely, 2^513126240 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 513126240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888693120).

513126240 is an abundant number, since it is smaller than the sum of its proper divisors (1264260000).

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

513126240 is a wasteful number, since it uses less digits than its factorization.

513126240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 513126240 is about 22652.2899504664. The cubic root of 513126240 is about 800.5861537582.

Adding to 513126240 its reverse (42621315), we get a palindrome (555747555).

The spelling of 513126240 in words is "five hundred thirteen million, one hundred twenty-six thousand, two hundred forty".