513714432 has 432 divisors, whose sum is σ = 1862263872. Its totient is φ = 123863040.

The previous prime is 513714431. The next prime is 513714433. The reversal of 513714432 is 234417315.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (513714431) and next prime (513714433).

It is a self number, because there is not a number n which added to its sum of digits gives 513714432.

It is not an unprimeable number, because it can be changed into a prime (513714431) 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 47 ways as a sum of consecutive naturals, for example, 7037148 + ... + 7037220.

It is an arithmetic number, because the mean of its divisors is an integer number (4310796).

Almost surely, 2^513714432 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 513714432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931131936).

513714432 is an abundant number, since it is smaller than the sum of its proper divisors (1348549440).

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

513714432 is a wasteful number, since it uses less digits than its factorization.

513714432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 113 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 513714432 is about 22665.2692902599. The cubic root of 513714432 is about 800.8919385209.

The spelling of 513714432 in words is "five hundred thirteen million, seven hundred fourteen thousand, four hundred thirty-two".