513340032 has 64 divisors (see below), whose sum is σ = 1368236160. Its totient is φ = 170526720.

The previous prime is 513340027. The next prime is 513340057. The reversal of 513340032 is 230043315.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×513340032² = 527035976907522048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 513339990 and 513340008.

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 7 ways as a sum of consecutive naturals, for example, 118057 + ... + 122327.

It is an arithmetic number, because the mean of its divisors is an integer number (21378690).

Almost surely, 2^513340032 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 513340032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684118080).

513340032 is an abundant number, since it is smaller than the sum of its proper divisors (854896128).

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

513340032 is a wasteful number, since it uses less digits than its factorization.

513340032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4601 (or 4589 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 513340032 is about 22657.0084521324. The cubic root of 513340032 is about 800.6973253285.

Adding to 513340032 its reverse (230043315), we get a palindrome (743383347).

The spelling of 513340032 in words is "five hundred thirteen million, three hundred forty thousand, thirty-two".