513472320 has 84 divisors (see below), whose sum is σ = 1766140740. Its totient is φ = 136925184.

The previous prime is 513472307. The next prime is 513472363. The reversal of 513472320 is 23274315.

It can be written as a sum of positive squares in 2 ways, for example, as 58247424 + 455224896 = 7632^2 + 21336^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86265 + ... + 92024.

It is an arithmetic number, because the mean of its divisors is an integer number (21025485).

Almost surely, 2^513472320 is an apocalyptic number.

It is an amenable number.

513472320 is an abundant number, since it is smaller than the sum of its proper divisors (1252668420).

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

513472320 is a wasteful number, since it uses less digits than its factorization.

513472320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178312 (or 178299 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 513472320 is about 22659.9276256567. The cubic root of 513472320 is about 800.7660994637.

The spelling of 513472320 in words is "five hundred thirteen million, four hundred seventy-two thousand, three hundred twenty".