513532320 has 96 divisors (see below), whose sum is σ = 1848728448. Its totient is φ = 117378048.

The previous prime is 513532309. The next prime is 513532321. The reversal of 513532320 is 23235315.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (513532321) 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, 73059 + ... + 79778.

It is an arithmetic number, because the mean of its divisors is an integer number (19257588).

Almost surely, 2^513532320 is an apocalyptic number.

It is an amenable number.

513532320 is an abundant number, since it is smaller than the sum of its proper divisors (1335196128).

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

513532320 is a wasteful number, since it uses less digits than its factorization.

513532320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152862 (or 152854 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 513532320 is about 22661.2515100115. The cubic root of 513532320 is about 800.7972884832.

Adding to 513532320 its reverse (23235315), we get a palindrome (536767635).

The spelling of 513532320 in words is "five hundred thirteen million, five hundred thirty-two thousand, three hundred twenty".