513180360 has 640 divisors, whose sum is σ = 2295786240. Its totient is φ = 100362240.

The previous prime is 513180359. The next prime is 513180379. The reversal of 513180360 is 63081315.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 159 ways as a sum of consecutive naturals, for example, 30187072 + ... + 30187088.

It is an arithmetic number, because the mean of its divisors is an integer number (3587166).

Almost surely, 2^513180360 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 513180360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147893120).

513180360 is an abundant number, since it is smaller than the sum of its proper divisors (1782605880).

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

513180360 is a wasteful number, since it uses less digits than its factorization.

513180360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 513180360 is about 22653.4845001823. The cubic root of 513180360 is about 800.6142990085.

It can be divided in two parts, 5131 and 80360, that added together give a triangular number (85491 = T₄₁₃).

The spelling of 513180360 in words is "five hundred thirteen million, one hundred eighty thousand, three hundred sixty".