513384240 has 80 divisors (see below), whose sum is σ = 1595585376. Its totient is φ = 136550400.

The previous prime is 513384229. The next prime is 513384257. The reversal of 513384240 is 42483315.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×513384240³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 513384198 and 513384207.

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, 98500 + ... + 103580.

Almost surely, 2^513384240 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 513384240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797792688).

513384240 is an abundant number, since it is smaller than the sum of its proper divisors (1082201136).

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

513384240 is a wasteful number, since it uses less digits than its factorization.

513384240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5518 (or 5512 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 513384240 is about 22657.9840232974. The cubic root of 513384240 is about 800.7203095813.

The spelling of 513384240 in words is "five hundred thirteen million, three hundred eighty-four thousand, two hundred forty".