513541440 has 252 divisors, whose sum is σ = 1879425756. Its totient is φ = 128679936.

The previous prime is 513541421. The next prime is 513541453. The reversal of 513541440 is 44145315.

It is a happy number.

513541440 is a `hidden beast` number, since 513 + 5 + 4 + 144 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3504384 + 510037056 = 1872^2 + 22584^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 832012 + ... + 832628.

Almost surely, 2^513541440 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 513541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939712878).

513541440 is an abundant number, since it is smaller than the sum of its proper divisors (1365884316).

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

513541440 is a wasteful number, since it uses less digits than its factorization.

513541440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 513541440 is about 22661.4527336621. The cubic root of 513541440 is about 800.8020290015.

Adding to 513541440 its reverse (44145315), we get a palindrome (557686755).

The spelling of 513541440 in words is "five hundred thirteen million, five hundred forty-one thousand, four hundred forty".