513325440 has 96 divisors (see below), whose sum is σ = 1772596800. Its totient is φ = 136885248.

The previous prime is 513325411. The next prime is 513325447. The reversal of 513325440 is 44523315.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513325447) 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 11 ways as a sum of consecutive naturals, for example, 38800 + ... + 50319.

It is an arithmetic number, because the mean of its divisors is an integer number (18464550).

Almost surely, 2^513325440 is an apocalyptic number.

It is an amenable number.

513325440 is an abundant number, since it is smaller than the sum of its proper divisors (1259271360).

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

513325440 is a wasteful number, since it uses less digits than its factorization.

513325440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89144 (or 89129 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 513325440 is about 22656.6864302793. The cubic root of 513325440 is about 800.6897384885.

Adding to 513325440 its reverse (44523315), we get a palindrome (557848755).

The spelling of 513325440 in words is "five hundred thirteen million, three hundred twenty-five thousand, four hundred forty".