513673752 has 64 divisors (see below), whose sum is σ = 1332748800. Its totient is φ = 164787840.

The previous prime is 513673747. The next prime is 513673801. The reversal of 513673752 is 257376315.

It is a self number, because there is not a number n which added to its sum of digits gives 513673752.

It is a congruent number.

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, 254427 + ... + 256437.

It is an arithmetic number, because the mean of its divisors is an integer number (20824200).

Almost surely, 2^513673752 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 513673752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666374400).

513673752 is an abundant number, since it is smaller than the sum of its proper divisors (819075048).

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

513673752 is a wasteful number, since it uses less digits than its factorization.

513673752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416 (or 2412 counting only the distinct ones).

The product of its digits is 132300, while the sum is 39.

The square root of 513673752 is about 22664.3718642278. The cubic root of 513673752 is about 800.8707976288.

The spelling of 513673752 in words is "five hundred thirteen million, six hundred seventy-three thousand, seven hundred fifty-two".