513850068 has 60 divisors (see below), whose sum is σ = 1363412512. Its totient is φ = 168719760.

The previous prime is 513850037. The next prime is 513850069. The reversal of 513850068 is 860058315.

513850068 is a `hidden beast` number, since 513 + 85 + 0 + 0 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513850069) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9873 + ... + 33543.

Almost surely, 2^513850068 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 513850068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681706256).

513850068 is an abundant number, since it is smaller than the sum of its proper divisors (849562444).

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

513850068 is a wasteful number, since it uses less digits than its factorization.

513850068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23754 (or 23743 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 513850068 is about 22668.2612478328. The cubic root of 513850068 is about 800.9624188066.

The spelling of 513850068 in words is "five hundred thirteen million, eight hundred fifty thousand, sixty-eight".