320513000 has 32 divisors (see below), whose sum is σ = 750002760. Its totient is φ = 128204800.

The previous prime is 320512991. The next prime is 320513003. The reversal of 320513000 is 315023.

320513000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 56580484 + 263932516 = 7522^2 + 16246^2 .

It is not an unprimeable number, because it can be changed into a prime (320513003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159257 + ... + 161256.

Almost surely, 2^320513000 is an apocalyptic number.

It is an amenable number.

320513000 is an abundant number, since it is smaller than the sum of its proper divisors (429489760).

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

320513000 is a wasteful number, since it uses less digits than its factorization.

320513000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320534 (or 320520 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 320513000 is about 17902.8768637892. The cubic root of 320513000 is about 684.3556908851.

Adding to 320513000 its reverse (315023), we get a palindrome (320828023).

The spelling of 320513000 in words is "three hundred twenty million, five hundred thirteen thousand".