513900672 has 64 divisors (see below), whose sum is σ = 1368480960. Its totient is φ = 170869760.

The previous prime is 513900643. The next prime is 513900689. The reversal of 513900672 is 276009315.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175573 + ... + 178475.

It is an arithmetic number, because the mean of its divisors is an integer number (21382515).

Almost surely, 2^513900672 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 513900672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684240480).

513900672 is an abundant number, since it is smaller than the sum of its proper divisors (854580288).

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

513900672 is a wasteful number, since it uses less digits than its factorization.

513900672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3381 (or 3369 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 513900672 is about 22669.3774065368. The cubic root of 513900672 is about 800.9887108934.

Adding to 513900672 its reverse (276009315), we get a palindrome (789909987).

The spelling of 513900672 in words is "five hundred thirteen million, nine hundred thousand, six hundred seventy-two".