513646020 has 72 divisors (see below), whose sum is σ = 1571909976. Its totient is φ = 135754752.

The previous prime is 513646013. The next prime is 513646027. The reversal of 513646020 is 20646315.

513646020 is a `hidden beast` number, since 5 + 13 + 646 + 0 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (513646013) and next prime (513646027).

It can be written as a sum of positive squares in 4 ways, for example, as 39538944 + 474107076 = 6288^2 + 21774^2 .

It is not an unprimeable number, because it can be changed into a prime (513646027) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7714 + ... + 32966.

It is an arithmetic number, because the mean of its divisors is an integer number (21832083).

Almost surely, 2^513646020 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 513646020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785954988).

513646020 is an abundant number, since it is smaller than the sum of its proper divisors (1058263956).

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

513646020 is a wasteful number, since it uses less digits than its factorization.

513646020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25381 (or 25376 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 513646020 is about 22663.7600587369. The cubic root of 513646020 is about 800.8563850121.

The spelling of 513646020 in words is "five hundred thirteen million, six hundred forty-six thousand, twenty".