513428240 has 80 divisors (see below), whose sum is σ = 1317009456. Its totient is φ = 184934400.

The previous prime is 513428239. The next prime is 513428261. The reversal of 513428240 is 42824315.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 109579024 + 403849216 = 10468^2 + 20096^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×513428240³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 36620 + ... + 48660.

Almost surely, 2^513428240 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 513428240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658504728).

513428240 is an abundant number, since it is smaller than the sum of its proper divisors (803581216).

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

513428240 is a wasteful number, since it uses less digits than its factorization.

513428240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12108 (or 12102 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 513428240 is about 22658.9549626632. The cubic root of 513428240 is about 800.7431843824.

The spelling of 513428240 in words is "five hundred thirteen million, four hundred twenty-eight thousand, two hundred forty".