513742416 has 80 divisors (see below), whose sum is σ = 1494571008. Its totient is φ = 150652800.

The previous prime is 513742379. The next prime is 513742429. The reversal of 513742416 is 614247315.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 675 + ... + 32061.

Almost surely, 2^513742416 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 513742416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747285504).

513742416 is an abundant number, since it is smaller than the sum of its proper divisors (980828592).

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

513742416 is a wasteful number, since it uses less digits than its factorization.

513742416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31440 (or 31434 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 513742416 is about 22665.8866140286. The cubic root of 513742416 is about 800.9064808111.

The spelling of 513742416 in words is "five hundred thirteen million, seven hundred forty-two thousand, four hundred sixteen".