513522240 has 224 divisors, whose sum is σ = 2033040384. Its totient is φ = 106690560.

The previous prime is 513522239. The next prime is 513522287. The reversal of 513522240 is 42225315.

It is a tau number, because it is divible by the number of its divisors (224).

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 513522240.

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, 70447 + ... + 77393.

Almost surely, 2^513522240 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 513522240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016520192).

513522240 is an abundant number, since it is smaller than the sum of its proper divisors (1519518144).

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

513522240 is a wasteful number, since it uses less digits than its factorization.

513522240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6985 (or 6975 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 513522240 is about 22661.0291028453. The cubic root of 513522240 is about 800.7920488977.

Adding to 513522240 its reverse (42225315), we get a palindrome (555747555).

It can be divided in two parts, 513 and 522240, that added together give a triangular number (522753 = T₁₀₂₂).

The spelling of 513522240 in words is "five hundred thirteen million, five hundred twenty-two thousand, two hundred forty".