513353152 has 28 divisors (see below), whose sum is σ = 1097047336. Its totient is φ = 236931840.

The previous prime is 513353147. The next prime is 513353161. The reversal of 513353152 is 251353315.

It is a self number, because there is not a number n which added to its sum of digits gives 513353152.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 307674 + ... + 309337.

It is an arithmetic number, because the mean of its divisors is an integer number (39180262).

Almost surely, 2^513353152 is an apocalyptic number.

513353152 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

513353152 is an abundant number, since it is smaller than the sum of its proper divisors (583694184).

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

513353152 is a wasteful number, since it uses less digits than its factorization.

513353152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617036 (or 617026 counting only the distinct ones).

The product of its digits is 6750, while the sum is 28.

The square root of 513353152 is about 22657.2979854174. The cubic root of 513353152 is about 800.7041467066.

It can be divided in two parts, 5133 and 53152, that added together give a palindrome (58285).

The spelling of 513353152 in words is "five hundred thirteen million, three hundred fifty-three thousand, one hundred fifty-two".