513975040 has 72 divisors (see below), whose sum is σ = 1270942848. Its totient is φ = 198942720.

The previous prime is 513975037. The next prime is 513975067. The reversal of 513975040 is 40579315.

It is a junction number, because it is equal to n+sod(n) for n = 513974987 and 513975005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33204 + ... + 46156.

It is an arithmetic number, because the mean of its divisors is an integer number (17651984).

Almost surely, 2^513975040 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 513975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635471424).

513975040 is an abundant number, since it is smaller than the sum of its proper divisors (756967808).

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

513975040 is a wasteful number, since it uses less digits than its factorization.

513975040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13005 (or 12991 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 34.

The square root of 513975040 is about 22671.0176216243. The cubic root of 513975040 is about 801.0273468001.

The spelling of 513975040 in words is "five hundred thirteen million, nine hundred seventy-five thousand, forty".