513525040 has 160 divisors (see below), whose sum is σ = 1429908480. Its totient is φ = 167795712.

The previous prime is 513525031. The next prime is 513525053. The reversal of 513525040 is 40525315.

It is a junction number, because it is equal to n+sod(n) for n = 513524996 and 513525014.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1672567 + ... + 1672873.

It is an arithmetic number, because the mean of its divisors is an integer number (8936928).

Almost surely, 2^513525040 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 513525040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714954240).

513525040 is an abundant number, since it is smaller than the sum of its proper divisors (916383440).

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

513525040 is a wasteful number, since it uses less digits than its factorization.

513525040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 513525040 is about 22661.0908828326. The cubic root of 513525040 is about 800.7935043450.

The spelling of 513525040 in words is "five hundred thirteen million, five hundred twenty-five thousand, forty".