513523020 has 48 divisors (see below), whose sum is σ = 1462245120. Its totient is φ = 134617536.

The previous prime is 513522983. The next prime is 513523033. The reversal of 513523020 is 20325315.

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, 68992 + ... + 76071.

It is an arithmetic number, because the mean of its divisors is an integer number (30463440).

Almost surely, 2^513523020 is an apocalyptic number.

It is an amenable number.

513523020 is an abundant number, since it is smaller than the sum of its proper divisors (948722100).

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

513523020 is a wasteful number, since it uses less digits than its factorization.

513523020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145134 (or 145132 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 513523020 is about 22661.0463130015. The cubic root of 513523020 is about 800.7924543443.

Adding to 513523020 its reverse (20325315), we get a palindrome (533848335).

The spelling of 513523020 in words is "five hundred thirteen million, five hundred twenty-three thousand, twenty".