513614020 has 48 divisors (see below), whose sum is σ = 1111103280. Its totient is φ = 199286784.

The previous prime is 513613981. The next prime is 513614051. The reversal of 513614020 is 20416315.

It can be written as a sum of positive squares in 8 ways, for example, as 211062784 + 302551236 = 14528^2 + 17394^2 .

It is a junction number, because it is equal to n+sod(n) for n = 513613982 and 513614000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 301812 + ... + 303508.

It is an arithmetic number, because the mean of its divisors is an integer number (23147985).

Almost surely, 2^513614020 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 513614020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555551640).

513614020 is an abundant number, since it is smaller than the sum of its proper divisors (597489260).

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

513614020 is a wasteful number, since it uses less digits than its factorization.

513614020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 2150 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 513614020 is about 22663.0540748594. The cubic root of 513614020 is about 800.8397536255.

The spelling of 513614020 in words is "five hundred thirteen million, six hundred fourteen thousand, twenty".