513173240 has 64 divisors (see below), whose sum is σ = 1211328000. Its totient is φ = 195288192.

The previous prime is 513173233. The next prime is 513173267. The reversal of 513173240 is 42371315.

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, 181679 + ... + 184481.

It is an arithmetic number, because the mean of its divisors is an integer number (18927000).

Almost surely, 2^513173240 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 513173240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605664000).

513173240 is an abundant number, since it is smaller than the sum of its proper divisors (698154760).

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

513173240 is a wasteful number, since it uses less digits than its factorization.

513173240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3036 (or 3032 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 513173240 is about 22653.3273494204. The cubic root of 513173240 is about 800.6105963466.

The spelling of 513173240 in words is "five hundred thirteen million, one hundred seventy-three thousand, two hundred forty".