513113040 has 480 divisors, whose sum is σ = 2064082176. Its totient is φ = 112803840.

The previous prime is 513113039. The next prime is 513113063. The reversal of 513113040 is 40311315.

513113040 is a `hidden beast` number, since 51 + 311 + 304 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 95 ways as a sum of consecutive naturals, for example, 4981629 + ... + 4981731.

Almost surely, 2^513113040 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 513113040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032041088).

513113040 is an abundant number, since it is smaller than the sum of its proper divisors (1550969136).

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

513113040 is a wasteful number, since it uses less digits than its factorization.

513113040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 513113040 is about 22651.9985873212. The cubic root of 513113040 is about 800.5792887627.

Adding to 513113040 its reverse (40311315), we get a palindrome (553424355).

The spelling of 513113040 in words is "five hundred thirteen million, one hundred thirteen thousand, forty".