513353020 has 48 divisors (see below), whose sum is σ = 1139110560. Its totient is φ = 193791744.

The previous prime is 513352969. The next prime is 513353021. The reversal of 513353020 is 20353315.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 513352982 and 513353000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513353021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102822 + ... + 107698.

It is an arithmetic number, because the mean of its divisors is an integer number (23731470).

Almost surely, 2^513353020 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 513353020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569555280).

513353020 is an abundant number, since it is smaller than the sum of its proper divisors (625757540).

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

513353020 is a wasteful number, since it uses less digits than its factorization.

513353020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5182 (or 5180 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 22.

The square root of 513353020 is about 22657.2950724485. The cubic root of 513353020 is about 800.7040780775.

The spelling of 513353020 in words is "five hundred thirteen million, three hundred fifty-three thousand, twenty".