513250040 has 64 divisors (see below), whose sum is σ = 1218672000. Its totient is φ = 194002560.

The previous prime is 513249973. The next prime is 513250093. The reversal of 513250040 is 40052315.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 513249994 and 513250021.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 469895 + ... + 470985.

It is an arithmetic number, because the mean of its divisors is an integer number (19041750).

Almost surely, 2^513250040 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 513250040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609336000).

513250040 is an abundant number, since it is smaller than the sum of its proper divisors (705421960).

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

513250040 is a wasteful number, since it uses less digits than its factorization.

513250040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 513250040 is about 22655.0224012249. The cubic root of 513250040 is about 800.6505333645.

The spelling of 513250040 in words is "five hundred thirteen million, two hundred fifty thousand, forty".