513320240 has 120 divisors (see below), whose sum is σ = 1266637680. Its totient is φ = 193342464.

The previous prime is 513320221. The next prime is 513320243. The reversal of 513320240 is 42023315.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (513320243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4709306 + ... + 4709414.

It is an arithmetic number, because the mean of its divisors is an integer number (10555314).

Almost surely, 2^513320240 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 513320240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633318840).

513320240 is an abundant number, since it is smaller than the sum of its proper divisors (753317440).

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

513320240 is a wasteful number, since it uses less digits than its factorization.

513320240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 513320240 is about 22656.5716735785. The cubic root of 513320240 is about 800.6870348101.

Adding to 513320240 its reverse (42023315), we get a palindrome (555343555).

The spelling of 513320240 in words is "five hundred thirteen million, three hundred twenty thousand, two hundred forty".