513250540 has 72 divisors (see below), whose sum is σ = 1198532160. Its totient is φ = 184462080.

The previous prime is 513250513. The next prime is 513250547. The reversal of 513250540 is 45052315.

It is a super-2 number, since 2×513250540² = 526852233620583200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (513250547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214189 + ... + 216571.

It is an arithmetic number, because the mean of its divisors is an integer number (16646280).

Almost surely, 2^513250540 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 513250540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599266080).

513250540 is an abundant number, since it is smaller than the sum of its proper divisors (685281620).

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

513250540 is a wasteful number, since it uses less digits than its factorization.

513250540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2503 (or 2490 counting only the distinct ones).

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

The square root of 513250540 is about 22655.0334363028. The cubic root of 513250540 is about 800.6507933581.

The spelling of 513250540 in words is "five hundred thirteen million, two hundred fifty thousand, five hundred forty".