513428832 has 288 divisors, whose sum is σ = 1800175104. Its totient is φ = 135475200.

The previous prime is 513428831. The next prime is 513428833. The reversal of 513428832 is 238824315.

It is an interprime number because it is at equal distance from previous prime (513428831) and next prime (513428833).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513428831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2433207 + ... + 2433417.

It is an arithmetic number, because the mean of its divisors is an integer number (6250608).

Almost surely, 2^513428832 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 513428832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900087552).

513428832 is an abundant number, since it is smaller than the sum of its proper divisors (1286746272).

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

513428832 is a wasteful number, since it uses less digits than its factorization.

513428832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 311 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 513428832 is about 22658.9680259274. The cubic root of 513428832 is about 800.7434921436.

The spelling of 513428832 in words is "five hundred thirteen million, four hundred twenty-eight thousand, eight hundred thirty-two".