513208920 has 256 divisors, whose sum is σ = 1889879040. Its totient is φ = 108822528.

The previous prime is 513208889. The next prime is 513208957. The reversal of 513208920 is 29802315.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1185024 + ... + 1185456.

It is an arithmetic number, because the mean of its divisors is an integer number (7382340).

Almost surely, 2^513208920 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 513208920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944939520).

513208920 is an abundant number, since it is smaller than the sum of its proper divisors (1376670120).

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

513208920 is a wasteful number, since it uses less digits than its factorization.

513208920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 513208920 is about 22654.1148580120. The cubic root of 513208920 is about 800.6291509150.

The spelling of 513208920 in words is "five hundred thirteen million, two hundred eight thousand, nine hundred twenty".